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Volumn 182, Issue 2, 2001, Pages 243-279

Generalized Ornstein-Uhlenbeck Semigroups: Littlewood-Paley-Stein Inequalities and the P. A. Meyer Equivalence of Norms

Author keywords

Bounded imaginary powers; Commutation relation; Gaussian Sobolev spaces; Littlewoord Paley Stein inequalities; Mehler formula; Second quantization

Indexed keywords


EID: 0001265423     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.2000.3722     Document Type: Article
Times cited : (42)

References (26)
  • 1
    • 0010562224 scopus 로고    scopus 로고
    • Riesz transforms on compact Lie groups, spheres and Gauss space
    • Arcozzi N. Riesz transforms on compact Lie groups, spheres and Gauss space. Ark. Mat. 36:1998;201-231.
    • (1998) Ark. Mat. , vol.36 , pp. 201-231
    • Arcozzi, N.1
  • 3
    • 0009280706 scopus 로고
    • Martingales and Fourier analysis in Banach spaces
    • G. Letta, & M. Pratelli. Probability and Analysis. New York: Springer-Verlag
    • Burkholder D. Martingales and Fourier analysis in Banach spaces. Letta G., Pratelli M. Probability and Analysis. Lecture Notes in Mathematics. 206:1986;61-108 Springer-Verlag, New York.
    • (1986) Lecture Notes in Mathematics , vol.206 , pp. 61-108
    • Burkholder, D.1
  • 4
    • 0039337711 scopus 로고    scopus 로고
    • Nonsymmetric Ornstein-Uhlenbeck semigroup as second quantized operator
    • Chojnowska-Michalik A., Goldys B. Nonsymmetric Ornstein-Uhlenbeck semigroup as second quantized operator. J. Math. Kyoto Univ. 36:1996;481-498.
    • (1996) J. Math. Kyoto Univ. , vol.36 , pp. 481-498
    • Chojnowska-Michalik, A.1    Goldys, B.2
  • 7
    • 0013347055 scopus 로고    scopus 로고
    • Perturbation of Ornstein-Uhlenbeck semigroups
    • Da Prato G. Perturbation of Ornstein-Uhlenbeck semigroups. Rend. Istit. Mat. Univ. Trieste. 28:1997;101-126.
    • (1997) Rend. Istit. Mat. Univ. Trieste , vol.28 , pp. 101-126
    • Da Prato, G.1
  • 8
    • 0033406889 scopus 로고    scopus 로고
    • On perturbations of symmetric Gaussian diffusions
    • Da Prato G., Goldys B. On perturbations of symmetric Gaussian diffusions. Stochastic Anal. Appl. 17:1999;369-382.
    • (1999) Stochastic Anal. Appl. , vol.17 , pp. 369-382
    • Da Prato, G.1    Goldys, B.2
  • 11
    • 0040208386 scopus 로고
    • Brownian processes in infinite dimensions
    • Feyel D., de La Pradelle A. Brownian processes in infinite dimensions. Potential Anal. 4:1995;173-188.
    • (1995) Potential Anal. , vol.4 , pp. 173-188
    • Feyel, D.1    De La Pradelle, A.2
  • 13
    • 4244008544 scopus 로고
    • Continuité de la divergence dans les espaces de Sobolev relatif à l'espace de Wiener
    • Krée M., Krée P. Continuité de la divergence dans les espaces de Sobolev relatif à l'espace de Wiener. C. R. Acad. Sci. Paris Sér. I Math. 296:1983;833-836.
    • (1983) C. R. Acad. Sci. Paris Sér. I Math. , vol.296 , pp. 833-836
    • Krée, M.1    Krée, P.2
  • 14
    • 0002281479 scopus 로고
    • Note sur les processus d'Ornstein-Uhlenbeck
    • Berlin/New York: Springer-Verlag. p. 95-133
    • Meyer P. A. Note sur les processus d'Ornstein-Uhlenbeck. Séminaire de Probabilités XVI. Lecture Notes in Math. 920:1982;Springer-Verlag, Berlin/New York. p. 95-133.
    • (1982) Séminaire de Probabilités XVI Lecture Notes in Math. , vol.920
    • Meyer, P.A.1
  • 16
    • 0000018741 scopus 로고
    • Riesz transforms: A simple analytic proof of P. A. Meyer's inequality
    • New York: Springer-Verlag. p. 485-501
    • Pisier G. Riesz transforms: A simple analytic proof of P. A. Meyer's inequality. Séminaire de Probabilités, XXIII. Lecture Notes in Math. 1321:1988;Springer-Verlag, New York. p. 485-501.
    • (1988) Séminaire de Probabilités, XXIII Lecture Notes in Math. , vol.1321
    • Pisier, G.1
  • 17
    • 84972540538 scopus 로고
    • Littlewood-Paley theory on Gaussian spaces
    • Potthoff J. Littlewood-Paley theory on Gaussian spaces. Nagoya Math. J. 109:1988;47-61.
    • (1988) Nagoya Math. J. , vol.109 , pp. 47-61
    • Potthoff, J.1
  • 19
    • 51249177627 scopus 로고
    • On operators with bounded imaginary powers in Banach spaces
    • Prüss J., Sohr H. On operators with bounded imaginary powers in Banach spaces. Math. Z. 203:1990;429-452.
    • (1990) Math. Z. , vol.203 , pp. 429-452
    • Prüss, J.1    Sohr, H.2
  • 20
    • 84972567120 scopus 로고
    • Littlewood-Paley-Stein inequality for a symmetric diffusion
    • Shigekawa I., Yoshida N. Littlewood-Paley-Stein inequality for a symmetric diffusion. J. Math. Soc. Japan. 44:1992;249-280.
    • (1992) J. Math. Soc. Japan , vol.44 , pp. 249-280
    • Shigekawa, I.1    Yoshida, N.2
  • 21
    • 0000787245 scopus 로고
    • Sobolev spaces over the Wiener space based on an Ornstein-Uhlenbeck operator
    • Shigekawa I. Sobolev spaces over the Wiener space based on an Ornstein-Uhlenbeck operator. J. Math. Kyoto Univ. 32:1992;731-748.
    • (1992) J. Math. Kyoto Univ. , vol.32 , pp. 731-748
    • Shigekawa, I.1
  • 22
    • 0039331317 scopus 로고
    • Inégalités de Meyer pour le semigroupe d'Ornstein-Uhlenbeck généralisé
    • Song S. Inégalités de Meyer pour le semigroupe d'Ornstein-Uhlenbeck généralisé C. R. Acad. Sci. Paris Sér. I. 320:1995;993-996.
    • (1995) C. R. Acad. Sci. Paris Sér. I , vol.320 , pp. 993-996
    • Song, S.1
  • 24
    • 0003250388 scopus 로고
    • On a characterization of the Sobolev spaces over an abstract Wiener space
    • Sugita H. On a characterization of the Sobolev spaces over an abstract Wiener space. J. Math. Kyoto Univ. 25:1985;717-725.
    • (1985) J. Math. Kyoto Univ. , vol.25 , pp. 717-725
    • Sugita, H.1
  • 26
    • 0039331320 scopus 로고
    • London/New York: Cambridge Univ. Press
    • Zygmund A. Trygonometric Series. 1968;Cambridge Univ. Press, London/New York.
    • (1968) Trygonometric Series
    • Zygmund, A.1


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