Multilinear Fractional Hausdorff Operators

In this paper,by introducing the space with weak mixed norms,weak type estimates of two kinds of multilinear fractional Hausdorff operators RΦ,β and SΦ,β on Lebesgue spaces are shown.By virtue of Marcinkiewicz interpolation,strong type estimates of these two operators on Lebesgue spaces are also obt...

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Published in:Acta mathematica Sinica. English series 2014-08, Vol.30 (8), p.1407-1421
Main Authors: Fan, Da Shan, Zhao, Fa You
Format: Article
Language:English
Subjects:
Dealing
Estimates
Functions (mathematics)
Harmonic analysis
Interpolation
Lebesgue空间
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Norms
Operators
Partial differential equations
Sheds
Studies
Theorems
分数
勒贝格
多线性
弱型估计
径向函数
豪斯多夫
运营商
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Zhao, Fa You
description In this paper,by introducing the space with weak mixed norms,weak type estimates of two kinds of multilinear fractional Hausdorff operators RΦ,β and SΦ,β 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 Φ.
doi_str_mv 10.1007/s10114-014-3552-2
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subjects Dealing
Estimates
Functions (mathematics)
Harmonic analysis
Interpolation
Lebesgue空间
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Norms
Operators
Partial differential equations
Sheds
Studies
Theorems
分数
勒贝格
多线性
弱型估计
径向函数
豪斯多夫
运营商
title Multilinear Fractional Hausdorff Operators
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