Multi linear Fractional Hausdorff Operators

被引：15

作者：

Fan, Da Shan ^{[1
]}

Zhao, Fa You ^{[2
]}

机构：

[1] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA

[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2014年 / 30卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Multilinear fractional Hausdorff operators; bilinear fractional Hardy operator; weak type; strong type; SPACES; HARDY; BOUNDEDNESS; MATRICES;

D O I：

10.1007/s10114-014-3552-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by introducing the space with weak mixed norms, weak type estimates of two kinds of multilinear fractional Hausdorff operators R phi(beta) over bar and S phi,beta on Lebesgue spaces are shown. By virtue of Marcinkiewicz interpolation, strong type estimates of these two operators on Lebesgue spaces are also obtained. Our methods shed some new light on dealing with the case of non-radial function phi.

引用

页码：1407 / 1421

页数：15

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