메뉴 건너뛰기




Volumn 91, Issue , 2003, Pages 1-29

Vector-valued extensions of operators related to the Ornstein-Uhlenbeck semigroup

Author keywords

[No Author keywords available]

Indexed keywords


EID: 1842538661     PISSN: 00217670     EISSN: 15658538     Source Type: Journal    
DOI: 10.1007/BF02788780     Document Type: Article
Times cited : (34)

References (23)
  • 1
    • 0000156679 scopus 로고
    • Some remarks on Banach spaces in which martingale differences are unconditional
    • [Bo]
    • [Bo] J. Bourgain, Some remarks on Banach spaces in which martingale differences are unconditional, Arkiv Mat. 21 (1983), 163-168.
    • (1983) Arkiv Mat. , vol.21 , pp. 163-168
    • Bourgain, J.1
  • 2
    • 0002080063 scopus 로고
    • A geometric condition that implies the existence of certain singular integrals of Banch-space-valuedfunctions
    • [Bu] W. Beckner, A. P. Calderón, R. Fefferman and P. W. Jones, eds., Wadsworth Inc., Belmont, CA
    • [Bu] D. Burkholder, A geometric condition that implies the existence of certain singular integrals of Banch-space-valuedfunctions, in Conference Harmonic Analysis in Honor of A. Zygmund (W. Beckner, A. P. Calderón, R. Fefferman and P. W. Jones, eds.), Wadsworth Inc., Belmont, CA, 1981, pp. 270-286.
    • (1981) Conference Harmonic Analysis in Honor of A. Zygmund , pp. 270-286
    • Burkholder, D.1
  • 3
    • 0001020428 scopus 로고
    • Weak-type estimates for the Riesz transforms associated with the gaussian measure
    • [FGS]
    • [FGS] E. Fabes, C. Gutiérrez and R. Scotto, Weak-type estimates for the Riesz transforms associated with the gaussian measure. Rev. Mat. Iberoamericana 10 (1994), 229-281.
    • (1994) Rev. Mat. Iberoamericana , vol.10 , pp. 229-281
    • Fabes, E.1    Gutiérrez, C.2    Scotto, R.3
  • 4
    • 70449535593 scopus 로고    scopus 로고
    • k functions and the Riesz potentials for the gaussian measure γ
    • [FSU]
    • k functions and the Riesz potentials for the gaussian measure γ, Rev. Un. Mat. Argentina 42 (2001), 17-31.
    • (2001) Rev. Un. Mat. Argentina , vol.42 , pp. 17-31
    • Forzani, L.1    Scotto, R.2    Urbina, W.3
  • 5
    • 0012038716 scopus 로고    scopus 로고
    • Spectral multipliers for the Ornstein-Uhlenbeck semigroup
    • [GMST1]
    • [GMST1] J. García-Cuerva, G. Mauceri, P. Sögren and J. L. Torrea, Spectral multipliers for the Ornstein-Uhlenbeck semigroup, J. Analyse Math. 78 (1999), 281-305.
    • (1999) J. Analyse Math. , vol.78 , pp. 281-305
    • García-Cuerva, J.1    Mauceri, G.2    Sögren, P.3    Torrea, J.L.4
  • 6
    • 0348098995 scopus 로고    scopus 로고
    • Higher-order Riesz operators for the Ornstein-Uhlenbeck semigroup
    • [GMST2]
    • [GMST2] J. García-Cuerva, G. Mauceri, P. Sögren and J. L. Torrea, Higher-order Riesz operators for the Ornstein-Uhlenbeck semigroup, Potential Anal. 10 (1999), 379-407.
    • (1999) Potential Anal. , vol.10 , pp. 379-407
    • García-Cuerva, J.1    Mauceri, G.2    Sögren, P.3    Torrea, J.L.4
  • 7
    • 51249161409 scopus 로고
    • The Hardy-Littlewood property of Banach lattices, Israel
    • [GMT]
    • [GMT] J. García-Cuerva, R. Macías and J. L. Torrea, The Hardy-Littlewood property of Banach lattices, Israel J. Math. 83 (1993), 177-201.
    • (1993) J. Math. , vol.83 , pp. 177-201
    • García-Cuerva, J.1    Macías, R.2    Torrea, J.L.3
  • 9
    • 3242875689 scopus 로고
    • On the Riesz transforms for Gaussian measures
    • [Gt]
    • [Gt] C. E. Gutiérrez, On the Riesz transforms for Gaussian measures, J. Funct. Anal. 120 (1994), 107-134.
    • (1994) J. Funct. Anal. , vol.120 , pp. 107-134
    • Gutiérrez, C.E.1
  • 10
    • 0007460230 scopus 로고
    • Some Topics in Probability and Analysis
    • [Gu], American Mathematical Society, Providence, RI
    • [Gu] R. Gundy, Some Topics in Probability and Analysis, CBMS Regional Conf. Ser. in Math. 70, American Mathematical Society, Providence, RI, 1989.
    • (1989) CBMS Regional Conf. Ser. in Math. , vol.70
    • Gundy, R.1
  • 11
    • 0034365118 scopus 로고    scopus 로고
    • On the search for weighted inequalities for operators related to the Ornstein-Uhlenbeck semigroup
    • [HVT]
    • [HVT] E. Harboure, J. L. Torrea and B. Viviani, On the search for weighted inequalities for operators related to the Ornstein-Uhlenbeck semigroup. Math. Ann. 318 (2000), 341-353.
    • (2000) Math. Ann. , vol.318 , pp. 341-353
    • Harboure, E.1    Torrea, J.L.2    Viviani, B.3
  • 12
    • 0003220157 scopus 로고
    • Classical Banach Spaces II, Function Spaces, Springer Ser
    • [LT], Springer-Verlag, Berlin
    • [LT] J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces II, Function Spaces, Springer Ser. Modern Surveys Math. 97, Springer-Verlag, Berlin, 1979.
    • (1979) Modern Surveys Math. , vol.97
    • Lindenstrauss, J.1    Tzafriri, L.2
  • 13
    • 0000036412 scopus 로고
    • Transformations de Riesz pour le lois Gaussienes
    • [Me] Springer-Verlag, New York
    • [Me] P. A. Meyer, Transformations de Riesz pour le lois Gaussienes, Lecture Notes in Math. 1059, Springer-Verlag, New York, 1984, pp. 179-193.
    • (1984) Lecture Notes in Math. , vol.1059 , pp. 179-193
    • Meyer, P.A.1
  • 14
    • 84968491397 scopus 로고
    • Poisson integrals for Hermite and Laguerre expansions
    • [Mu]
    • [Mu] B. Muckenhoupt, Poisson integrals for Hermite and Laguerre expansions, Trans. Amer. Math. Soc. 139 (1969), 231-242.
    • (1969) Trans. Amer. Math. Soc. , vol.139 , pp. 231-242
    • Muckenhoupt, B.1
  • 15
    • 0000018741 scopus 로고
    • Riesz transforms: A simpler proof of P.A. Meyer's inequality
    • [P] Springer-Verlag, Berlin
    • [P] G. Pisier, Riesz transforms: a simpler proof of P.A. Meyer's inequality. Lecture Notes in Math. 1321, Springer-Verlag, Berlin, 1988, pp. 485-501.
    • (1988) Lecture Notes in Math. , vol.1321 , pp. 485-501
    • Pisier, G.1
  • 16
    • 0034195718 scopus 로고    scopus 로고
    • Operators associated with the Ornstein-Uhlenbeck semigroup
    • [PS]
    • [PS] S. Pérez and F. Soria, Operators associated with the Ornstein-Uhlenbeck semigroup, J. London Math. Soc. 61 (2000), 857-871.
    • (2000) J. London Math. Soc. , vol.61 , pp. 857-871
    • Pérez, S.1    Soria, F.2
  • 17
    • 0001671364 scopus 로고
    • Martingale and integral transforms of Banach space valued functions, in Conference on Probability and Banach Spaces, Zaragoza, 1985
    • [R] Springer-Verlag, Berlin-New York
    • [R] J. L. Rubio de Francia, Martingale and integral transforms of Banach space valued functions, in Conference on Probability and Banach Spaces, Zaragoza, 1985, Lecture Notes in Math. 1221, Springer-Verlag, Berlin-New York, 1986, pp. 195-222.
    • (1986) Lecture Notes in Math. , vol.1221 , pp. 195-222
    • De Rubio Francia, J.L.1
  • 18
    • 0003136982 scopus 로고
    • Calderón-Zygmund kernels for operator-valued kernels
    • [RRT]
    • [RRT] J. L. Rubio de Francia, F. J. Ruiz and J. L. Torrea, Calderón-Zygmund kernels for operator-valued kernels, Adv. Math. 62 (1986), 7-48.
    • (1986) Adv. Math. , vol.62 , pp. 7-48
    • De Rubio Francia, J.L.1    Ruiz, F.J.2    Torrea, J.L.3
  • 19
    • 0001795081 scopus 로고
    • On the maximal function for the Mehler kernel, in Harmonic Analysis Cortona 1982
    • [Sj], Springer-Verlag, Berlin
    • [Sj] P. Sjögren, On the maximal function for the Mehler kernel, in Harmonic Analysis Cortona 1982, Lecture Notes in Math. 992, Springer-Verlag, Berlin, 1983, pp. 73-82.
    • (1983) Lecture Notes in Math. , vol.992 , pp. 73-82
    • Sjögren, P.1
  • 20
    • 0001964876 scopus 로고
    • Topics in Harmonic Analysis Related to the Littlewood-Paley theory
    • [St1] Princeton University Press, Princeton, NJ
    • [St1] E. M. Stein, Topics in Harmonic Analysis Related to the Littlewood-Paley theory, Ann. of Math. Stud., Vol. 63, Princeton University Press, Princeton, NJ, 1970.
    • (1970) Ann. of Math. Stud. , vol.63
    • Stein, E.M.1
  • 22
    • 0002377781 scopus 로고
    • On singular integrals with respect to the Gaussian measure
    • [U]
    • [U] W. Urbina, On singular integrals with respect to the Gaussian measure, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 17 (1990), 531-567.
    • (1990) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.17 , pp. 531-567
    • Urbina, W.1
  • 23
    • 0032221910 scopus 로고    scopus 로고
    • Littlewood-Paley theory for functions with values in uniformly convex spaces
    • [X]
    • [X] Q. Xu, Littlewood-Paley theory for functions with values in uniformly convex spaces, J. Reine Angew. Math. 504 (1998), 195-226.
    • (1998) J. Reine Angew. Math. , vol.504 , pp. 195-226
    • Xu, Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.