A NOTE ON MULTILINEAR FRACTIONAL INTEGRALS

Shi and Wao[6] studied the boundedness of multilinear fractional integrals introduced by Kenig and Stein[3] on product of weighted LP-spaces, and got some results. We give some remarks with respect to their results and correct some mistakes. We also consider another multilinear fractional integral i...

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Bibliographic Details
Published inAnalysis in theory & applications Vol. 26; no. 4; pp. 301 - 307
Main Authors Iida, Takeshi, Komori-Furuya, Yasuo, Sato, Enji
Format Journal Article
LanguageEnglish
Published Heidelberg Editorial Board of Analysis in Theory and Applications 01.12.2010
Yamagata University, Japan%Tokai University, Japan
Subjects
Analysis
Approximations and Expansions
Mathematics
Mathematics and Statistics
Stein
分数次积分算子
加权
多线性分数次积分
A
weight
multilinear fractional integral
42B25
42B20
A αp,q weight
Ap,q weight
Online AccessGet full text
ISSN1672-4070
1573-8175
DOI10.1007/s10496-010-0301-y

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Summary:Shi and Wao[6] studied the boundedness of multilinear fractional integrals introduced by Kenig and Stein[3] on product of weighted LP-spaces, and got some results. We give some remarks with respect to their results and correct some mistakes. We also consider another multilinear fractional integral introduced by Grafakos[2].
Bibliography:32-1631/O1
O174.2
multilinear fractional integral, Ap,q weight, Aαp,q weight
O177.6
ISSN:1672-4070
1573-8175
DOI:10.1007/s10496-010-0301-y