IMAL   13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Commutators of singular integrals on spaces of homogeneous type
Autor/es:
GLADIS PRADOLINI; OSCAR SALINAS
Revista:
CZECHOSLOVAK MATHEMATICAL JOURNAL
Editorial:
Mathematical Institute, 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.of 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.