Commutators of singular integrals on spaces of homogeneous type

GLADIS PRADOLINI; OSCAR SALINAS

CZECHOSLOVAK MATHEMATICAL JOURNAL

Institute of Mathematics, Academy of Sciences of the Czech Republic

Año: 2007 vol. 57 p. 75 - 93

0011-4642

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.