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Volumn 10, Issue 4, 1999, Pages 379-407

Higher-order Riesz Operators for the Ornstein-Uhlenbeck Semigroup

Author keywords

Calder n Zygmund operators; Gaussian measure; Hermite polynomials; Mehler kernel; Ornstein Uhlenbeck semigroup; Riesz transforms

Indexed keywords


EID: 0348098995     PISSN: 09262601     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008685801945     Document Type: Article
Times cited : (52)

References (15)
  • 1
    • 0001020428 scopus 로고
    • Weak-type estimates for the Riesz transforms associated with the Gaussian measure
    • Fabes, E. B., Gutiérrez, C. E. and Scotto, R.: 'Weak-type estimates for the Riesz transforms associated with the Gaussian measure', Rev. Mat. Iberoamericana 10 (1994).
    • (1994) Rev. Mat. Iberoamericana , vol.10
    • Fabes, E.B.1    Gutiérrez, C.E.2    Scotto, R.3
  • 2
    • 0011418934 scopus 로고
    • Transformations de Hilbert-Riesz gaussiennes
    • Feyel, D.: 'Transformations de Hilbert-Riesz gaussiennes', C. R. Acad. Sci. Paris, Sér. I Math. 310 (1990), 653-655.
    • (1990) C. R. Acad. Sci. Paris, Sér. I Math. , vol.310 , pp. 653-655
    • Feyel, D.1
  • 3
    • 0001447374 scopus 로고    scopus 로고
    • 'The higher order Riesz transform for Gaussian measure need not be weak type' (1,1)
    • Forzani, L. and Scotto, R.: 'The higher order Riesz transform for Gaussian measure need not be weak type' (1,1), Studia Mathematica 131 (1998), 205-214.
    • (1998) Studia Mathematica , vol.131 , pp. 205-214
    • Forzani, L.1    Scotto, R.2
  • 4
    • 0002339441 scopus 로고
    • Sur les transformations de Riesz pour le semigroupe d'Ornstein-Uhlenbeck
    • Gundy, R. F.: 'Sur les transformations de Riesz pour le semigroupe d'Ornstein-Uhlenbeck', C. R. Acad. Sci. Paris, Sér. I Math. 303 (1986), 967-970.
    • (1986) C. R. Acad. Sci. Paris, Sér. I Math. , vol.303 , pp. 967-970
    • Gundy, R.F.1
  • 5
    • 3242875689 scopus 로고
    • On the Riesz transforms for Gaussian measures
    • Gutiérrez, C.: 'On the Riesz transforms for Gaussian measures', J. of Funct. Anal. 120(1) (1994), 107-134.
    • (1994) J. of Funct. Anal. , vol.120 , Issue.1 , pp. 107-134
    • Gutiérrez, C.1
  • 8
    • 0000036412 scopus 로고
    • Transformations de Riesz pour les lois Gaussiennes
    • Meyer, P. A.: 'Transformations de Riesz pour les lois Gaussiennes' Springer Lecture Notes in Mathematics 1059 (1984), 179-193.
    • (1984) Springer Lecture Notes in Mathematics , vol.1059 , pp. 179-193
    • Meyer, P.A.1
  • 9
    • 84968488021 scopus 로고
    • Hermite conjugate expansions
    • Muckenhoupt, B.: 'Hermite conjugate expansions', Trans. Amer. Math. Soc. 139 (1969), 243-260.
    • (1969) Trans. Amer. Math. Soc. , vol.139 , pp. 243-260
    • Muckenhoupt, B.1
  • 11
    • 0000018741 scopus 로고
    • Riesz transforms: A simpler analytic proof of P. A. Meyer's inequality
    • Pisier, G.: 'Riesz transforms: a simpler analytic proof of P. A. Meyer's inequality' Springer Lecture Notes in Mathematics 1321 (1988), 485-501.
    • (1988) Springer Lecture Notes in Mathematics , vol.1321 , pp. 485-501
    • Pisier, G.1
  • 13
    • 0001795081 scopus 로고
    • On the maximal function for the Mehler kernel
    • Harmonic Analysis, Cortona 1982
    • Sjögren, P.: 'On the maximal function for the Mehler kernel' in: Harmonic Analysis, Cortona 1982, Springer Lecture Notes in Mathematics 992 (1983), 73-82.
    • (1983) Springer Lecture Notes in Mathematics , vol.992 , pp. 73-82
    • Sjögren, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.