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On the Maximal Function for the Generalized Ornstein-uhlenbeck Semigroup.

✍ Scribed by Betancor, Jorge; Forzani, Liliana; Scotto, Roberto; Urbina, Wilfredo O.

Book ID: 118180568
Publisher: Taylor and Francis Group
Year: 2007
Tongue: English
Weight: 198 KB
Volume: 30
Category: Article
ISSN: 1607-3606
DOI: 10.2989/16073600709486214

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Let # be the Gauss measure on R d and L the Ornstein Uhlenbeck operator, which is self adjoint in L 2 (#). For every p in (1, ), p{2, set , p \*=arc sin |2Âp&1| and consider the sector The main result of this paper is that if M is a bounded holomorphic function on S ,\* p whose boundary values on S