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Volumn 185, Issue 1, 2006, Pages 1-62

Characterisations of function spaces of generalised smoothness

Author keywords

Atomic decompositions; Function space; Local means; Maximal function

Indexed keywords


EID: 33744791194     PISSN: 03733114     EISSN: 16181891     Source Type: Journal    
DOI: 10.1007/s10231-004-0110-z     Document Type: Article
Times cited : (126)

References (83)
  • 2
    • 0010015319 scopus 로고    scopus 로고
    • A maximal characterization of weighted Besov-Lipschitz and Triebel-Lizorkin spaces
    • [BPT96]
    • [BPT96] Bui, H.-Q., Paluszyński, M., Taibleson, M.: A maximal characterization of weighted Besov-Lipschitz and Triebel-Lizorkin spaces. Stud. Math. 119, 219-246 (1996)
    • (1996) Stud. Math. , vol.119 , pp. 219-246
    • Bui, H.-Q.1    Paluszyński, M.2    Taibleson, M.3
  • 3
    • 1842679469 scopus 로고    scopus 로고
    • Characterization of the Besov-Lipschitz and Triebel-Lizorkin spaces. the case q < 1
    • [BPT97]
    • [BPT97] Bui, H.-Q., Paluszyński, M., Taibleson, M.: Characterization of the Besov-Lipschitz and Triebel-Lizorkin spaces. The case q < 1. J. Fourier Anal. Appl. 3, 837-846 (1997)
    • (1997) J. Fourier Anal. Appl. , vol.3 , pp. 837-846
    • Bui, H.-Q.1    Paluszyński, M.2    Taibleson, M.3
  • 4
    • 3543053092 scopus 로고    scopus 로고
    • Extension theorems for Sobolev spaces
    • [Bu99]
    • [Bu99] Burenkov, V.: Extension theorems for Sobolev spaces. Oper. Theory Adv. Appl. 109, 187-200 (1999)
    • (1999) Oper. Theory Adv. Appl. , vol.109 , pp. 187-200
    • Burenkov, V.1
  • 6
    • 0010751428 scopus 로고
    • Hardy-Sobolev spaces and Besov spaces with a function parameter
    • [CoFe86] Proc. Lund Conf. 1986, Berlin: Springer
    • [CoFe86] Cobos, F., Fernandez, D.L.: Hardy-Sobolev spaces and Besov spaces with a function parameter. Proc. Lund Conf. 1986, Lect. Notes Math. 1302, 158-170. Berlin: Springer 1986
    • (1986) Lect. Notes Math. , vol.1302 , pp. 158-170
    • Cobos, F.1    Fernandez, D.L.2
  • 7
    • 0040681365 scopus 로고
    • ∞ dans ℂ satisfaisant au principe du maximum. Exposé 2
    • [Co66]
    • ∞ dans ℂ satisfaisant au principe du maximum. Exposé 2. Sém. Théorie du Potentiel, 1965/66, 38 pp
    • (1965) Sém. Théorie du Potentiel
    • Courrège, P.1
  • 8
    • 0006735177 scopus 로고    scopus 로고
    • Spaces of Lipschitz type, embeddings and entropy numbers
    • [EdHa99]
    • [EdHa99] Edmunds, D.E., Haroske, D.: Spaces of Lipschitz type, embeddings and entropy numbers. Diss. Math. 380, 1-43 (1999)
    • (1999) Diss. Math. , vol.380 , pp. 1-43
    • Edmunds, D.E.1    Haroske, D.2
  • 9
    • 0031139089 scopus 로고    scopus 로고
    • On embeddings of logarithmic Bessel potential spaces
    • [EGO97]
    • [EGO97] Edmunds, D.E., Gurka, P., Opic, B.: On embeddings of logarithmic Bessel potential spaces. J. Funct. Anal. 146, 116-150 (1997)
    • (1997) J. Funct. Anal. , vol.146 , pp. 116-150
    • Edmunds, D.E.1    Gurka, P.2    Opic, B.3
  • 11
    • 18544395897 scopus 로고    scopus 로고
    • Spectral theory for isotropic fractal drums
    • [EdTr98]
    • [EdTr98] Edmunds, D.E., Triebel, H.: Spectral theory for isotropic fractal drums. C. R. Acad. Sci. Paris 326, 1269-1274 (1998)
    • (1998) C. R. Acad. Sci. Paris , vol.326 , pp. 1269-1274
    • Edmunds, D.E.1    Triebel, H.2
  • 12
    • 0042391314 scopus 로고    scopus 로고
    • Eigenfrequencies of Isotropic fractal drums
    • [EdTr99]
    • [EdTr99] Edmunds, D.E., Triebel, H.: Eigenfrequencies of Isotropic fractal drums. Oper. Theory Adv. Appl. 110, 81-102 (1999)
    • (1999) Oper. Theory Adv. Appl. , vol.110 , pp. 81-102
    • Edmunds, D.E.1    Triebel, H.2
  • 13
    • 0035530853 scopus 로고    scopus 로고
    • psub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols
    • [FJS01a]
    • psub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols. Forum Math. 13, 59-90 (2001)
    • (2001) Forum Math. , vol.13 , pp. 59-90
    • Farkas, W.1    Jacob, N.2    Schilling, R.L.3
  • 14
    • 33746458383 scopus 로고    scopus 로고
    • Function spaces related to continuous negative definite functions: Ψ-Bessel potential spaces
    • [FJS01b]
    • [FJS01b] Farkas, W., Jacob, N., Schilling, R.L.: Function spaces related to continuous negative definite functions: Ψ-Bessel potential spaces. Diss. Math. 393, 1-62 (2001)
    • (2001) Diss. Math. , vol.393 , pp. 1-62
    • Farkas, W.1    Jacob, N.2    Schilling, R.L.3
  • 16
    • 0000361611 scopus 로고
    • Some maximal inequalities
    • [FeSt71]
    • [FeSt71] Fefferman, C., Stein, E.M.: Some maximal inequalities. Am. J. Math. 93, 107-115 (1971)
    • (1971) Am. J. Math. , vol.93 , pp. 107-115
    • Fefferman, C.1    Stein, E.M.2
  • 17
    • 0001281362 scopus 로고
    • Decomposition of Besov spaces
    • [FrJa85]
    • [FrJa85] Frazier, M., Jawerth. B.: Decomposition of Besov spaces. Indiana Univ. Math. J. 34, 777-799 (1985)
    • (1985) Indiana Univ. Math. J. , vol.34 , pp. 777-799
    • Frazier, M.1    Jawerth, B.2
  • 18
    • 0002319407 scopus 로고
    • A discrete transform and decomposition of distribution spaces
    • [FrJa90]
    • [FrJa90] Frazier, M., Jawerth, B.: A discrete transform and decomposition of distribution spaces. J. Funct. Anal. 93, 34-170 (1990)
    • (1990) J. Funct. Anal. , vol.93 , pp. 34-170
    • Frazier, M.1    Jawerth, B.2
  • 19
    • 0003292476 scopus 로고
    • Littlewood-Paley theory and the study of function spaces
    • [FJW91] Providence, RI: Am. Math. Soc.
    • [FJW91] Frazier, M., Jawerth, B.: Littlewood-Paley theory and the study of function spaces. CBMS Reg. Conf. Ser. Math. 79. Providence, RI: Am. Math. Soc. 1991
    • (1991) CBMS Reg. Conf. Ser. Math. , vol.79
    • Frazier, M.1    Jawerth, B.2
  • 20
    • 84966251606 scopus 로고
    • Dirichlet spaces and strong Markov processes
    • [Fu71]
    • [Fu71] Fukushima, M.: Dirichlet spaces and strong Markov processes. Trans. Am. Math. Soc. 162, 185-224 (1971)
    • (1971) Trans. Am. Math. Soc. , vol.162 , pp. 185-224
    • Fukushima, M.1
  • 21
    • 0013259349 scopus 로고
    • A description of the trace space for functions of a generalized Hölder class
    • [Go76]
    • [Go76] Goldman, M.L.: A description of the trace space for functions of a generalized Hölder class. Dokl. Akad. Nauk SSSR 231, 525-528 (1976)
    • (1976) Dokl. Akad. Nauk SSSR , vol.231 , pp. 525-528
    • Goldman, M.L.1
  • 22
    • 0013544330 scopus 로고
    • A description of the traces of some function spaces
    • [Go79]
    • [Go79] Goldman, M.L.: A description of the traces of some function spaces Trudy Mat. Inst. Steklov 150, 99-127 (1979).
    • (1979) Trudy Mat. Inst. Steklov , vol.150 , pp. 99-127
    • Goldman, M.L.1
  • 23
    • 33747891702 scopus 로고
    • English transl.
    • English transl.: Proc. Steklov Inst. Math. 1981, no. 4(150)
    • (1981) Proc. Steklov Inst. Math. , vol.4 , Issue.150
  • 24
    • 0042892240 scopus 로고
    • A method of coverings for describing general spaces of Besov type
    • [Go80]
    • [Go80] Goldman, M.L.: A method of coverings for describing general spaces of Besov type. Trudy Mat. Inst. Steklov 156, 47-81 (1980).
    • (1980) Trudy Mat. Inst. Steklov , vol.156 , pp. 47-81
    • Goldman, M.L.1
  • 25
    • 33747884017 scopus 로고
    • English transl
    • English transl: Proc. Steklov Inst. Math. 1983, no. 2 (156)
    • (1983) Proc. Steklov Inst. Math. , vol.2 , Issue.156
  • 26
    • 0013210680 scopus 로고
    • Imbedding theorems for anisotropic Nikol'skii-Besov spaces with moduli of continuity of general type
    • [Go84a]
    • [Go84a] Goldman, M.L.: Imbedding theorems for anisotropic Nikol'skii-Besov spaces with moduli of continuity of general type. Trudy Mat. Inst. Steklov 170, 86-104 (1984).
    • (1984) Trudy Mat. Inst. Steklov , vol.170 , pp. 86-104
    • Goldman, M.L.1
  • 27
    • 33747885677 scopus 로고
    • English transl.
    • English transl.: Proc. Steklov Inst. Math. 1987, no. 1 (170)
    • (1987) Proc. Steklov Inst. Math. , vol.1 , Issue.170
  • 28
    • 4644306410 scopus 로고
    • Embedding of Nikol'skii-Besov spaces with moduli of continuity of general type in Lorentz spaces
    • [Go84b]
    • [Go84b] Goldman, M.L.: Embedding of Nikol'skii-Besov spaces with moduli of continuity of general type in Lorentz spaces. Dokl. Akad. Nauk SSSR 277, 20-24 (1984)
    • (1984) Dokl. Akad. Nauk SSSR , vol.277 , pp. 20-24
    • Goldman, M.L.1
  • 29
    • 0013210196 scopus 로고
    • On imbedding generalized Nikol'skii-Besov spaces in Lorentz spaces
    • [Go85]
    • [Go85] Goldman, M.L.: On imbedding generalized Nikol'skii-Besov spaces in Lorentz spaces. Trudy Mat. Inst. Steklov 172, 128-139 (1985).
    • (1985) Trudy Mat. Inst. Steklov , vol.172 , pp. 128-139
    • Goldman, M.L.1
  • 30
    • 33747884743 scopus 로고
    • English transl.
    • English transl.: Proc. Steklov Inst. Math. 1987, no. 3 (172)
    • (1987) Proc. Steklov Inst. Math. , vol.3 , Issue.172
  • 31
    • 0345242103 scopus 로고
    • Embedding constructive and structural Lipschitz spaces in symmetric spaces
    • [Go86]
    • [Go86] Goldman, M.L.: Embedding constructive and structural Lipschitz spaces in symmetric spaces. Trudy Mat. Inst. Steklov 173, 90-112 (1986).
    • (1986) Trudy Mat. Inst. Steklov , vol.173 , pp. 90-112
    • Goldman, M.L.1
  • 32
    • 33747893865 scopus 로고
    • English transl.
    • English transl.: Proc. Steklov Inst. Math. 1987, no. 4 (173)
    • (1987) Proc. Steklov Inst. Math. , vol.4 , Issue.173
  • 33
    • 33747716000 scopus 로고
    • Traces of functions with restrictions on the spectrum
    • [Go89]
    • [Go89] Goldman, M.L.: Traces of functions with restrictions on the spectrum. Trudy Mat. Inst. Steklov 187, 69-77 (1989).
    • (1989) Trudy Mat. Inst. Steklov , vol.187 , pp. 69-77
    • Goldman, M.L.1
  • 34
    • 33747880782 scopus 로고
    • English transl.
    • English transl.: Proc. Steklov Inst. Math. 1990, no. 3 (187)
    • (1990) Proc. Steklov Inst. Math. , vol.3 , Issue.187
  • 35
    • 33747743768 scopus 로고
    • A criterion for the embedding of different metrics for isotropic Besov spaces with arbitrary moduli of continuity
    • [Go92]
    • [Go92] Goldman, M.L.: A criterion for the embedding of different metrics for isotropic Besov spaces with arbitrary moduli of continuity. Trudy Mat. Inst. Steklov 201, 186-218 (1992).
    • (1992) Trudy Mat. Inst. Steklov , vol.201 , pp. 186-218
    • Goldman, M.L.1
  • 36
    • 33747887817 scopus 로고
    • English transl.
    • English transl.: Proc. Steklov Inst. Math. 1994, no. 2 (201)
    • (1994) Proc. Steklov Inst. Math. , vol.2 , Issue.201
  • 38
    • 0042636787 scopus 로고    scopus 로고
    • Characteristic functions and symbols in the theory of Feller processes
    • [Ja98]
    • [Ja98] Jacob, N.: Characteristic functions and symbols in the theory of Feller processes. Potential Analysis 8, 61-68 (1998)
    • (1998) Potential Analysis , vol.8 , pp. 61-68
    • Jacob, N.1
  • 39
    • 20444493288 scopus 로고    scopus 로고
    • Pseudo-differential operators and Markov processes
    • [Ja01] World Scientific, Imperial College Press
    • [Ja01] Jacob, N.: Pseudo-differential operators and Markov processes. Vol. 1: Fourier analysis and semigroups, World Scientific, Imperial College Press 2001
    • (2001) Fourier Analysis and Semigroups , vol.1
    • Jacob, N.1
  • 40
    • 0013109786 scopus 로고    scopus 로고
    • Subordination in the sense of Bochner - An approach through pseudo-differential operators
    • [JaSc96]
    • [JaSc96] Jacob, N., Schilling, R.L.: Subordination in the sense of Bochner - An approach through pseudo-differential operators. Math. Nachr. 178, 199-231 (1996)
    • (1996) Math. Nachr. , vol.178 , pp. 199-231
    • Jacob, N.1    Schilling, R.L.2
  • 41
    • 0013479443 scopus 로고
    • Characterization of spaces of generalized Liouville differentiation
    • [Ka77a]
    • [Ka77a] Kalyabin, G.A.: Characterization of spaces of generalized Liouville differentiation. Mat. Sb. Nov. Ser. 104, 42-48 (1977)
    • (1977) Mat. Sb. Nov. Ser. , vol.104 , pp. 42-48
    • Kalyabin, G.A.1
  • 42
    • 4644246328 scopus 로고
    • Imbedding theorems for generalized Besov and Liouville spaces
    • [Ka77b]
    • [Ka77b] Kalyabin. G.A.: Imbedding theorems for generalized Besov and Liouville spaces. Dokl. Akad. Nauk SSSR 232, 1245-1248 (1977).
    • (1977) Dokl. Akad. Nauk SSSR , vol.232 , pp. 1245-1248
    • Kalyabin, G.A.1
  • 43
    • 33747877402 scopus 로고
    • English transl.
    • English transl.: Soviet Math. Dokl. 1977, no 1 (18)
    • (1977) Soviet Math. Dokl. , vol.1 , Issue.18
  • 44
    • 0039217551 scopus 로고
    • Trace spaces for generalized anisotropic Liouville classes
    • [Ka78]
    • [Ka78] Kalyabin, G.A.: Trace spaces for generalized anisotropic Liouville classes. Izv. Akad. Nauk SSSR Ser. Mat. 42, 305-314 (1978).
    • (1978) Izv. Akad. Nauk SSSR Ser. Mat. , vol.42 , pp. 305-314
    • Kalyabin, G.A.1
  • 45
    • 33747879265 scopus 로고
    • English transl.
    • English transl.: Math. USSR Izv. 12 (1978 )
    • (1978) Math. USSR Izv. , vol.12
  • 46
    • 0041890042 scopus 로고
    • A description of traces for anisotropic spaces of in classes of Triebel-Lizorkin type
    • [Ka79]
    • [Ka79] Kalyabin, G.A.: A description of traces for anisotropic spaces of in classes of Triebel-Lizorkin type. Trudy Mat. Inst. Steklov 150, 160-173 (1979)
    • (1979) Trudy Mat. Inst. Steklov , vol.150 , pp. 160-173
    • Kalyabin, G.A.1
  • 47
    • 33747877289 scopus 로고
    • English transl
    • English transl: Proc. Steklov Inst. Math. 1981, no. 4 (150)
    • (1981) Proc. Steklov Inst. Math. , vol.4 , Issue.150
  • 48
    • 0041890042 scopus 로고
    • Description of functions in classes of Besov-Lizorkin-Triebel type
    • [Ka80]
    • [Ka80] Kalyabin, G.A.: Description of functions in classes of Besov-Lizorkin-Triebel type. Trudy Mat. Inst. Steklov 156, 82-109 (1980).
    • (1980) Trudy Mat. Inst. Steklov , vol.156 , pp. 82-109
    • Kalyabin, G.A.1
  • 49
    • 33747881017 scopus 로고
    • English transl
    • English transl: Proc. Steklov Institut Math. 1983, no. 2 (156)
    • (1983) Proc. Steklov Institut Math. , vol.2 , Issue.156
  • 50
    • 0742299938 scopus 로고
    • Criteria for multiplicativity and imbedding in C for spaces of Besov-Lizorkin-Triebel type
    • [Ka81]
    • [Ka81] Kalyabin, G.A.: Criteria for multiplicativity and imbedding in C for spaces of Besov-Lizorkin-Triebel type. Mat. Zametki 30, 517-526 (1981).
    • (1981) Mat. Zametki , vol.30 , pp. 517-526
    • Kalyabin, G.A.1
  • 51
    • 33747881831 scopus 로고
    • English transl
    • English transl: in Math. Notes 1983, no. 30
    • (1983) Math. Notes , vol.30
  • 52
    • 0141622970 scopus 로고
    • Characterization of spaces of Besov-Lizorkin-Triebel type by means of generalized differences
    • [Ka88]
    • [Ka88] Kalyabin, G.A.: Characterization of spaces of Besov-Lizorkin- Triebel type by means of generalized differences. Trudy Mat. Inst. Steklov 181, 95-116 (1988).
    • (1988) Trudy Mat. Inst. Steklov , vol.181 , pp. 95-116
    • Kalyabin, G.A.1
  • 53
    • 33747891052 scopus 로고
    • English transl
    • English transl: Proc. Steklov Inst. Math. 1989, no. 4 (181)
    • (1989) Proc. Steklov Inst. Math. , vol.4 , Issue.181
  • 54
    • 84985383278 scopus 로고
    • Spaces of functions of generalized smoothness
    • [KaLi87]
    • [KaLi87] Kalyabin, G.A., Lizorkin, P.I.: Spaces of functions of generalized smoothness. Math. Nachr. 133, 7-32 (1987)
    • (1987) Math. Nachr. , vol.133 , pp. 7-32
    • Kalyabin, G.A.1    Lizorkin, P.I.2
  • 55
    • 4644347482 scopus 로고
    • Spaces of differentiable functions of several variables and imbedding theorems. Analysis III, Spaces of differentiable functions
    • [KuNi88] Heidelberg: Springer
    • [KuNi88] Kudryavtsev, L.D., Nikol'skǐ, S.M.: Spaces of differentiable functions of several variables and imbedding theorems. Analysis III, Spaces of differentiable functions, Encyclopadia of Math. Sciences 26, 4-140. Heidelberg: Springer 1990
    • (1990) Encyclopadia of Math. Sciences , vol.26 , pp. 4-140
    • Kudryavtsev, L.D.1    Nikol'skǐ, S.M.2
  • 57
    • 0037529909 scopus 로고    scopus 로고
    • Embeddings and entropy numbers in Besov spaces of generalized smoothness
    • [Le98] Function Spaces: The fifth conference, Hudzik, H., Skrzypczak, L.(eds.). Marcel Dekker
    • [Le98] Leopold, H.G.: Embeddings and entropy numbers in Besov spaces of generalized smoothness, in: Function Spaces: The fifth conference, Lecture Notes Pure Appl. Math. 213, 323-336. Hudzik, H., Skrzypczak, L.(eds.). Marcel Dekker 2000
    • (2000) Lecture Notes Pure Appl. Math. , vol.213 , pp. 323-336
    • Leopold, H.G.1
  • 58
    • 0010668328 scopus 로고
    • Applications of interpolation with a function parameter to Lorentz, Sobolev and Besov spaces
    • [Me83] Proc. Lund Conf. Berlin: Springer
    • [Me83] Merucci, C.: Applications of interpolation with a function parameter to Lorentz, Sobolev and Besov spaces. Proc. Lund Conf. 1983. Lect. Notes Math. 1070, 183-201. Berlin: Springer
    • (1983) Lect. Notes Math. , vol.1070 , pp. 183-201
    • Merucci, C.1
  • 59
    • 33747873178 scopus 로고    scopus 로고
    • [Mo99] Preprint, Univ. Coimbra
    • n) and (R"). Preprint 99-09, Univ. Coimbra 1999
    • (1999) n) and (R") , pp. 99-109
    • Moura, S.1
  • 60
    • 84893445683 scopus 로고    scopus 로고
    • Function spaces of generalised smoothness
    • [Mo01]
    • [Mo01] Moura, S.: Function spaces of generalised smoothness. Diss. Math. 398, 1-87 (2001)
    • (2001) Diss. Math. , vol.398 , pp. 1-87
    • Moura, S.1
  • 61
    • 33747874168 scopus 로고
    • Embedding theorems for traces of Besov spaces and Lizorkin-Triebel spaces
    • [Ne88]
    • [Ne88] Netrusov, Y.V.: Embedding theorems for traces of Besov spaces and Lizorkin-Triebel spaces. Dokl. Akad. Nauk SSSR 298, 1326-1330 (1988).
    • (1988) Dokl. Akad. Nauk SSSR , vol.298 , pp. 1326-1330
    • Netrusov, Y.V.1
  • 62
    • 33747871692 scopus 로고
    • English transl
    • English transl: Soviet Math. Dokl. 1988, no. 1 (37)
    • (1988) Soviet Math. Dokl. , vol.1 , Issue.37
  • 63
    • 0347835461 scopus 로고
    • Metric estimates of the capacities of sets in Besov spaces
    • [Ne89]
    • [Ne89] Netrusov, Y.V.: Metric estimates of the capacities of sets in Besov spaces. Trudy Mat. Inst. Steklov 190, 159-185 (1989).
    • (1989) Trudy Mat. Inst. Steklov , vol.190 , pp. 159-185
    • Netrusov, Y.V.1
  • 64
    • 33747891318 scopus 로고
    • English transl.
    • English transl.: Proc. Steklov Inst. Math. 1992, no. 1(190)
    • (1992) Proc. Steklov Inst. Math. , vol.1 , Issue.190
  • 65
    • 0013064318 scopus 로고    scopus 로고
    • Bessel potentials with logarithmic components and Sobolev-type embeddings
    • [OpTr00]
    • [OpTr00] Opic, B., Trebels, W.: Bessel potentials with logarithmic components and Sobolev-type embeddings. Anal. Math. 26, 299-319 (2000)
    • (2000) Anal. Math. , vol.26 , pp. 299-319
    • Opic, B.1    Trebels, W.2
  • 66
    • 0039009284 scopus 로고
    • On spaces of Triebel Lizorkin type
    • [Pe75]
    • [Pe75] Peetre, J.: On spaces of Triebel Lizorkin type. Ark. Mat. 13, 123-130 (1975)
    • (1975) Ark. Mat. , vol.13 , pp. 123-130
    • Peetre, J.1
  • 67
    • 0010051396 scopus 로고    scopus 로고
    • On a theorem of Bui, Paluszyński, and Taibleson
    • [Ry99]
    • [Ry99] Rychkov, V.: On a theorem of Bui, Paluszyński, and Taibleson. Trudy Mat. Inst. Steklov 227, 286-298 (1999).
    • (1999) Trudy Mat. Inst. Steklov , vol.227 , pp. 286-298
    • Rychkov, V.1
  • 68
    • 0010051396 scopus 로고    scopus 로고
    • English transl
    • English transl: Proc. Steklov Inst. Math. 227, 280-292 (1999)
    • (1999) Proc. Steklov Inst. Math. , vol.227 , pp. 280-292
  • 70
    • 0040350238 scopus 로고    scopus 로고
    • Subordination in the sense of Bochner and a related functional calculus
    • [Sc98a]
    • [Sc98a] Schilling, R.L.: Subordination in the sense of Bochner and a related functional calculus. J. Aust. Math. Soc. 64, 368-396 (1998)
    • (1998) J. Aust. Math. Soc. , vol.64 , pp. 368-396
    • Schilling, R.L.1
  • 71
    • 0032348006 scopus 로고    scopus 로고
    • Conservativeness of semigroups generated by pseudodifferential operators
    • [Sc98b]
    • [Sc98b] Schilling, R.L.: Conservativeness of semigroups generated by pseudodifferential operators. Potential Anal. 9, 91-104 (1998)
    • (1998) Potential Anal. , vol.9 , pp. 91-104
    • Schilling, R.L.1
  • 74
    • 0000427681 scopus 로고
    • Weighted Hardy spaces
    • [StTo89] Berlin: Springer
    • [StTo89] Strömberg, J.O., Torchinsky, A.: Weighted Hardy spaces. Led. Notes Math. 1381. Berlin: Springer 1989
    • (1989) Led. Notes Math. , vol.1381
    • Strömberg, J.O.1    Torchinsky, A.2
  • 75
    • 0039706117 scopus 로고
    • Fourier analysis and function spaces
    • [Tr77] Leipzig: Teubner
    • [Tr77] Triebel, H.: Fourier analysis and function spaces. Teubner-Texte Math. 7. Leipzig: Teubner 1977
    • (1977) Teubner-texte Math. , vol.7
    • Triebel, H.1
  • 77
    • 0004058897 scopus 로고
    • [Tr83] Leipzig: Geest & Portig and Basel: Birkhäuser
    • [Tr83] Triebel, H.: Theory of function spaces. Leipzig: Geest & Portig and Basel: Birkhäuser 1983
    • (1983) Theory of Function Spaces
    • Triebel, H.1
  • 79
    • 38249027722 scopus 로고
    • Characterizations of Besov-Hardy-Sobolev spaces: A unified approach
    • [Tr88]
    • [Tr88] Triebel, H.: Characterizations of Besov-Hardy-Sobolev spaces: a unified approach. J. Approximation Theory 52, 162-203 (1988)
    • (1988) J. Approximation Theory , vol.52 , pp. 162-203
    • Triebel, H.1
  • 83
    • 0000344624 scopus 로고    scopus 로고
    • A Fourier analytical characterization of the Hausdorff dimension of a closed set and of related Lebesgue spaces
    • [TrWi96]
    • [TrWi96] Triebel, H., Winkelvoß, H.: A Fourier analytical characterization of the Hausdorff dimension of a closed set and of related Lebesgue spaces. Stud. Math. 121, 149-166 (1996)
    • (1996) Stud. Math. , vol.121 , pp. 149-166
    • Triebel, H.1    Winkelvoß, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.