Weighted weak-type estimates for multilinear commutators of fractional integrals on spaces of homogeneous type

被引：12

作者：

Gorosito, Osvaldo ^{[1
]}

Pradolini, Gladis ^{[1
]}

Salinas, Oscar ^{[1
]}

机构：

[1] Consejo Nacl Invest Cient & Tecn, Dept Math, Buenos Aires, DF, Argentina

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2007年 / 23卷 / 10期

关键词：

commutators; fractional integral operator; multilinear operators;

D O I：

10.1007/s10114-005-0741-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain weighted distributional inequalities for multilinear commutators of the fractional integral on spaces of homogeneous type. The techniques developed in this work involve the behavior of some fractional maximal functions. In relation to these operators, as a main tool, we prove a weighted weak type boundedness result, which is interesting in itself.

引用

页码：1813 / 1826

页数：14

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