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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/214850
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