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- Title
MAXIMAL OPERATORS FOR THE HOLOMORPHIC ORNSTEIN–UHLENBECK SEMIGROUP.
- Authors
GARCÍA-CUERVA, J.; MAUCERI, G.; MEDA, S.; SJÖGREN, P.; TORREA, J. L.
- Abstract
For each p in [1, ∞) let Ep denote the closure of the region of holomorphy of the Ornstein–Uhlenbeck semigroup {Ht : t > 0} on Lp with respect to the Gaussian measure. Sharp weak type and strong type estimates are proved for the maximal operator f ↦ H*pf = sup{|Hzf| : z ∈ Ep} and for a class of related operators. As a consequence, a new and simpler proof of the weak type 1 estimate is given for the maximal operator associated to the Mehler kernel.
- Publication
Journal of the London Mathematical Society, 2003, Vol 67, Issue 1, p219
- ISSN
0024-6107
- Publication type
Article
- DOI
10.1112/S0024610702003733