We prove that the first order Riesz transforms associated to the Laguerre semigroup are weak-type (1,1). We also present a counterexample showing that for the Riesz transforms of order three or higher the weak type (1,1) estimate fails.

Weak type estimates for Riesz-Laguerre transforms.

SASSO, EMANUELA
2007-01-01

Abstract

We prove that the first order Riesz transforms associated to the Laguerre semigroup are weak-type (1,1). We also present a counterexample showing that for the Riesz transforms of order three or higher the weak type (1,1) estimate fails.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/230134
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