We shall work with the Laguerre measure on R^d_+ and the associated Laplacian L, by means of which the Laguerre semigroup is defined. Our main result is a multiplier theorem, saying that a function of L which is of Laplace transform type defines an operator of weak type (1,1) for the Laguerre measure. Our starting point is the well-known relationship between the Laguerre and Ornstein-Uhlenbeck semigroups.

Spectral multipliers of Laplace transform type for the Laguerre operator

SASSO, EMANUELA
2004-01-01

Abstract

We shall work with the Laguerre measure on R^d_+ and the associated Laplacian L, by means of which the Laguerre semigroup is defined. Our main result is a multiplier theorem, saying that a function of L which is of Laplace transform type defines an operator of weak type (1,1) for the Laguerre measure. Our starting point is the well-known relationship between the Laguerre and Ornstein-Uhlenbeck semigroups.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/214848
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