메뉴 건너뛰기




Volumn 183, Issue , 1997, Pages 229-273

Some remarks on the boundedness of pseudodifferential operators

Author keywords

Banach functional spaces; Bounded pseudodifferential operators; Fourier multipliers

Indexed keywords


EID: 0039860841     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.19971830115     Document Type: Article
Times cited : (10)

References (45)
  • 1
    • 0001044744 scopus 로고
    • p and hölder estimates for pseudodifferential operators: Sufficient conditions
    • p and Hölder Estimates for Pseudodifferential Operators: Sufficient Conditions, Ann. Inst. Fourier (Grenoble), 29 (3) (1979), 239-260
    • (1979) Ann. Inst. Fourier (Grenoble) , vol.29 , Issue.3 , pp. 239-260
    • Beals, R.1
  • 3
    • 0011040067 scopus 로고
    • Wavelet bases in differentiable function spaces of anisotropic smoothness
    • BERKOLAIKO, M. Z., and NOVIKOV, I. YA.: Wavelet Bases in Differentiable Function Spaces of Anisotropic Smoothness, (Russian), Dokl. Akad. Nauk, 323 (4) (1992), 615-618
    • (1992) Dokl. Akad. Nauk , vol.323 , Issue.4 , pp. 615-618
    • Berkolaiko, M.Z.1    Novikov, I.Ya.2
  • 4
    • 84963458222 scopus 로고
    • p-estimates for certain non-regular pseudo-differential operators
    • p-Estimates for Certain Non-Regular Pseudo-Differential Operators, Comm. Partial Differential Equations 7 (1982), 1023-1033
    • (1982) Comm. Partial Differential Equations , vol.7 , pp. 1023-1033
    • Bourdaud, G.1
  • 5
    • 0001186889 scopus 로고
    • On singular integrals
    • CALDERON, A. P. and ZYGMUND, A.: On Singular Integrals. Amer. J. Math., 78 (2) (1956), 289-309
    • (1956) Amer. J. Math. , vol.78 , Issue.2 , pp. 289-309
    • Calderon, A.P.1    Zygmund, A.2
  • 6
    • 0011553176 scopus 로고
    • On singular integrals with variable kernels
    • CALDERON, A. P. and ZYGMUND, A.: On Singular Integrals with Variable Kernels. Appl. Anal., 7 (1978), 221-238
    • (1978) Appl. Anal. , vol.7 , pp. 221-238
    • Calderon, A.P.1    Zygmund, A.2
  • 8
    • 0001923237 scopus 로고
    • Au delà des opérateurs pseudo-différentiels
    • COIFMAN, R. R., et MEYER, Y.: Au delà des Opérateurs Pseudo-Différentiels, Astérisque 57 (1978), 2-184
    • (1978) Astérisque , vol.57 , pp. 2-184
    • Coifman, R.R.1    Meyer, Y.2
  • 9
    • 0004186840 scopus 로고
    • Springer-Verlag, Berlin-Göttingen-Heidelberg
    • DAY, M. M.: Normed Linear Spaces. Springer-Verlag, Berlin-Göttingen-Heidelberg 1958
    • (1958) Normed Linear Spaces
    • Day, M.M.1
  • 11
    • 0002208904 scopus 로고
    • pq of Triebel-Lizorkin type: Pointwise multipliers and spaces on domains
    • pq of Triebel-Lizorkin Type: Pointwise Multipliers and Spaces on Domains, Math. Nachr. 125 (1986), 29-68
    • (1986) Math. Nachr. , vol.125 , pp. 29-68
    • Franke, J.1
  • 26
    • 0000631760 scopus 로고
    • Sur les dérivées et sur les différences des fonctions de variables réeles
    • MARCHOUD, A.: Sur les Dérivées et sur les Différences des Fonctions de Variables Réeles, J. Math. Pures Appl 6 (1927), 337-425
    • (1927) J. Math. Pures Appl , vol.6 , pp. 337-425
    • Marchoud, A.1
  • 29
    • 84972563747 scopus 로고
    • p-bounded pseudo-differential operators
    • p-Bounded Pseudo-Differential Operators, Osaka J. Math. 23 (2) (1986), 425-440
    • (1986) Osaka J. Math. , vol.23 , Issue.2 , pp. 425-440
    • Nagase, M.1
  • 30
    • 0013550801 scopus 로고
    • Pseudo-differential operators in Hardy-Triebel spaces
    • PÄIVÄRINTA, L.: Pseudo-Differential Operators in Hardy-Triebel Spaces, Z. Anal. Anwendungen 2 (3) (1983), 235-242
    • (1983) Z. Anal. Anwendungen , vol.2 , Issue.3 , pp. 235-242
    • Päivärinta, L.1
  • 31
    • 0004057553 scopus 로고
    • McGraw-Hill Book Company, New York-Sydney-Toronto
    • RUDIN, W.: Functional Analysis. McGraw-Hill Book Company, New York-Sydney-Toronto, 1973
    • (1973) Functional Analysis
    • Rudin, W.1
  • 32
    • 84980089033 scopus 로고
    • A remark on inequalities of Calderon-Zygmund type for vector-valued functions
    • SCHWARTZ, J.: A Remark on Inequalities of Calderon-Zygmund Type for Vector-Valued Functions, Comm. Pure Appl. Math. 14 (1961), 785-799
    • (1961) Comm. Pure Appl. Math. , vol.14 , pp. 785-799
    • Schwartz, J.1
  • 33
    • 0040899696 scopus 로고
    • A remark on Mikhlin-Hörmander multipliers theorem
    • SHAMIR, E.: A Remark on Mikhlin-Hörmander Multipliers Theorem, J. Math. Anal. Appl. 16 (1966), 104-107
    • (1966) J. Math. Anal. Appl. , vol.16 , pp. 104-107
    • Shamir, E.1
  • 38
    • 0039713612 scopus 로고
    • p-boundedness of pseudodifferential operators satisfying Besov estimates. II
    • p-Boundedness of Pseudodifferential Operators Satisfying Besov Estimates. II, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 35 (1) (1988), 149-162
    • (1988) J. Fac. Sci. Univ. Tokyo Sect. IA Math. , vol.35 , Issue.1 , pp. 149-162
    • Sugimoto, M.1
  • 39
    • 0004276192 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • TAYLOR, M.: Pseudodifferential Operators. Princeton University Press, Princeton, New Jersey, 1981
    • (1981) Pseudodifferential Operators
    • Taylor, M.1
  • 42
    • 0040305570 scopus 로고
    • Spaces of Besov-Hardy-Sobolev type
    • Leipzig: Teubner
    • TRIEBEL, H.: Spaces of Besov-Hardy-Sobolev Type. Teubner-Texte Math. 15, Leipzig: Teubner, 1978
    • (1978) Teubner-Texte Math. , vol.15
    • Triebel, H.1
  • 43
    • 0004058897 scopus 로고
    • Birkhäuser Verlag, Basel-Boston-Stuttgart
    • TRIEBEL, H.: Theory of Function Spaces, Birkhäuser Verlag, Basel-Boston-Stuttgart, 1983
    • (1983) Theory of Function Spaces
    • Triebel, H.1
  • 45
    • 0011030231 scopus 로고
    • p-boundedness of several classes of pseudo-differential operators
    • p-Boundedness of Several Classes of Pseudo-Differential Operators. Chinese Ann. Math. Ser. B 5 (2) (1984), 193-213
    • (1984) Chinese Ann. Math. Ser. B , vol.5 , Issue.2 , pp. 193-213
    • Roughuai, W.1    Chengzhang, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.