For each p in [1,infty) let Ep denote the closure of the region of holomorphy of the Laguerre semigroup on L^p with respect to the Laguerre measure. We prove weak type and strong type estimates for the maximal operator. In particular, we give a new proof for the weak type 1 estimate for the maximal operator associated to the Laguerre semigroup.
Maximal operators for the holomorphic Laguerre semigroup.
SASSO, EMANUELA
2005-01-01
Abstract
For each p in [1,infty) let Ep denote the closure of the region of holomorphy of the Laguerre semigroup on L^p with respect to the Laguerre measure. We prove weak type and strong type estimates for the maximal operator. In particular, we give a new proof for the weak type 1 estimate for the maximal operator associated to the Laguerre semigroup.File in questo prodotto:
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