info:eu-repo/semantics/article
Power weighted L p -inequalities for Laguerre-Riesz transforms
Fecha
2008-10Registro en:
Harboure, Eleonor Ofelia; Segovia Fernandez, Carlos; Torrea Hernández, José Luis; Viviani, Beatriz Eleonora; Power weighted L p -inequalities for Laguerre-Riesz transforms; Springer; Arkiv For Matematik; 46; 2; 10-2008; 285-313
0004-2080
CONICET Digital
CONICET
Autor
Harboure, Eleonor Ofelia
Segovia Fernandez, Carlos
Torrea Hernández, José Luis
Viviani, Beatriz Eleonora
Resumen
In this paper we give a complete description of the power weighted inequalities, of strong, weak and restricted weak type for the pair of Riesz transforms associated with the Laguerre function system {Lk α}, for any given α>-1. We achieve these results by a careful estimate of the kernels: near the diagonal we show that they are local Calderón-Zygmund operators while in the complement they are majorized by Hardy type operators and the maximal heat-diffusion operator. We also show that in all the cases our results are sharp.