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
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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