Artículo
Commutators of singular integrals on spaces of homogeneous type
Fecha de publicación:
03/2007
Editorial:
Springer Heidelberg
Revista:
Czechoslovak Mathematical Journal
ISSN:
0011-4642
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In this work we prove some sharp weighted inequalities on spaces of homogeneous type for the higher order commutators of singular integrals introduced by R. Coifman, R. Rochberg and G. Weiss in Factorization theorems for Hardy spaces in several variables, Ann. Math. 103 (1976), 611-635. As a corollary, we obtain that these operators are bounded on L p (w) when w belongs to the Muckenhoupt's class A p , p > 1. In addition, as an important tool in order to get our main result, we prove a weighted Fefferman-Stein type inequality on spaces of homogeneous type, which we have not found previously in the literature.
Palabras clave:
Commutators
,
Spaces of Homogeneous Type
,
Weights
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(IMAL)
Articulos de INST.DE MATEMATICA APLICADA "LITORAL"
Articulos de INST.DE MATEMATICA APLICADA "LITORAL"
Citación
Pradolini, Gladis Guadalupe; Salinas, Oscar Mario; Commutators of singular integrals on spaces of homogeneous type; Springer Heidelberg; Czechoslovak Mathematical Journal; 57; 1; 3-2007; 75-93
Compartir
Altmétricas