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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/230134
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 10
  • ???jsp.display-item.citation.isi??? 9
social impact