Weak type inequality for a family of singular integral operators related with the Gaussian measure

Forzani, Liliana Maria; Harboure, Eleonor Ofelia; Scotto, Roberto Aníbal

info:eu-repo/semantics/article

Fecha

2009-05

Registro en:

Forzani, Liliana Maria; Harboure, Eleonor Ofelia; Scotto, Roberto Aníbal; Weak type inequality for a family of singular integral operators related with the Gaussian measure; Springer; Potential Analysis; 31; 2; 5-2009; 103-116

0926-2601

http://hdl.handle.net/11336/84274

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4344962

Autor

Forzani, Liliana Maria

Harboure, Eleonor Ofelia

Scotto, Roberto Aníbal

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

In this paper we study a family of singular integral operators that generalizes the higher order Gaussian Riesz Transforms and find the right weight w to make them continuous from L1(wdγ) into L1,∞(dγ), being dγ(x) = e-x2dx. Some boundedness properties of these operators had already been derived by Urbina (Ann Scuola Norm Sup Pisa Cl Sci 17(4):531-567, 1990) and Pérez (J Geom Anal 11(3):491-507, 2001).

Materias

FUNCTIONAL CALCULUS

GAUSSIAN MEASURE

ORNSTEIN-UHLENBECK OPERATOR

SINGULAR INTEGRALS

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