Maximal operators for the holomorphic Ornstein-Uhlenbeck semigroup

Journal of the London Mathematical Society

Volumn 67, Issue 1, 2003, Pages 219-234

  Garcia Cuerva J ^a   Mauceri, G ^c   Meda, S ^b   Sjogren P ^d   Torrea, J L ^a  

^a UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

^b UNIVERSITY OF MILANO BICOCCA   (Italy)

^c UNIVERSITY OF GENOA   (Italy)

^d CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 19244376726     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610702003733     Document Type: Article

References (9)

1. L. CARLESON, 'Some analytic problems related to statistical mechanics', Euclidean harmonic analysis, Lecture Notes in Mathematics 779 (Springer, 1979) 5-45.
2. J. B. EPPERSON, The hypercontractive approach to exactly bounding an operator with complex Gaussian kernel', J. Funct. Anal. 87 (1989) 1-30.
3. J. GARCÍA-CUERVA, G. MAUCERI, S. MEDA, P. SJÖGREN and J. L. TORREA, 'Functional calculus for the Ornstein - Uhlenbeck operator', J. Funct. Anal. 183 (2001) 413-450.
4. J. GARCÍA-CUERVA, G. MAUCERI, P. SJÖGREN and J. L. TORREA, 'Spectral multipliers for the Ornstein -Uhlenbeck semigroup', J. Anal. Math. 78 (1999) 281-305.
5. A. GARSIA, 'Topics in almost everywhere convergence', Lectures in Advanced Mathematics 4 (Markham, Chicago, 1970).
6. T. MENÁRGUEZ, S. PÉREZ and F. SORIA, The Mehler maximal function: a geometric proof of the weak type 1', J. London Math. Soc. (2) 61 (2000) 846-856.
7. B. MUCKENHOUPT, 'Poisson integrals for Hermite and Laguerre expansions', Trans. Amer. Math. Soc. 139 (1969) 231-242.
8. P. SJÖGREN, 'On the maximal function for the Mehler kernel', Harmonic Analysis, Cortona, 1982, Lecture Notes in Mathematics 992 (Springer, 1983) 73-82.
9. E. M. STEIN, Topics in harmonic analysis related to the Littlewood-Paley theory (Princeton University Press, 1970).