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Weighted Weak-type Estimates for Multilinear Commutators of Fractional Integrals on Spaces of Homogeneous Type
引用本文:Osvaldo GOROSITO Gladis PRADOLINI Oscar SALINAS. Weighted Weak-type Estimates for Multilinear Commutators of Fractional Integrals on Spaces of Homogeneous Type[J]. 数学学报(英文版), 2007, 23(10): 1813-1826. DOI: 10.1007/s10114-005-0741-z
作者姓名:Osvaldo GOROSITO Gladis PRADOLINI Oscar SALINAS
作者单位:Department of Mathematics, Consejo Nacional de Investigaciones Cientificas y Tecnicas de la Republica Argentina
基金项目:The authors are supported by Consejo Nacional de Investigaciones Cientificas y Tecnicas de la Republica Argentina and Universidad Nacional del Litoral
摘    要:


关 键 词:换位子 积分算子 多线性算子 弱估计
收稿时间:2005-03-22
修稿时间:2005-03-22

Weighted Weak-type Estimates for Multilinear Commutators of Fractional Integrals on Spaces of Homogeneous Type
Osvaldo Gorosito,Gladis Pradolini,Oscar Salinas. Weighted Weak-type Estimates for Multilinear Commutators of Fractional Integrals on Spaces of Homogeneous Type[J]. Acta Mathematica Sinica(English Series), 2007, 23(10): 1813-1826. DOI: 10.1007/s10114-005-0741-z
Authors:Osvaldo Gorosito  Gladis Pradolini  Oscar Salinas
Affiliation:(1) Department of Mathematics, Consejo Nacional de Investigaciones Científicas y Téecnicas de la República, Argentina
Abstract:
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.
Keywords:commutators   fractional integral operator   multilinear operators
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