INVESTIGADORES
SALINAS Oscar Mario
artículos
Título:
Commutators of singular integrals on spaces of homogeneous type
Autor/es:
GLADIS PRADOLINI; OSCAR SALINAS
Revista:
CZECHOSLOVAK MATHEMATICAL JOURNAL
Editorial:
Institute of Mathematics, Academy of Sciences of the Czech Republic
Referencias:
Año: 2007 vol. 57 p. 75 - 93
ISSN:
0011-4642
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 Lp(w) when w belongs to the Muckenhoupt´s class Ap, p bigger than 1. In addition, as an important tool in order to get our main resulta, we prove a weighted Fefferman-Stein type inequality on spaces of homogeneous typ, which we have not found previously in the literature.