Artículo

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

Forzani, Liliana MariaIcon ; Harboure, Eleonor OfeliaIcon ; Scotto, Roberto Aníbal
Fecha de publicación: 05/2009
Editorial: Springer
Revista: Potential Analysis
ISSN: 0926-2601
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

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).
Palabras clave: FUNCTIONAL CALCULUS , GAUSSIAN MEASURE , ORNSTEIN-UHLENBECK OPERATOR , SINGULAR INTEGRALS
 
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info:eu-repo/semantics/restrictedAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/84274
DOI: http://dx.doi.org/10.1007/s11118-009-9124-x
URL: https://link.springer.com/article/10.1007/s11118-009-9124-x
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Articulos de INST.DE MATEMATICA APLICADA "LITORAL"
Citación
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
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