A Characterization of Some Weighted Inequalities for the Vector-valued Weighted Maximal Function

We give in this paper a necessary and sufficient condition of weighted weak and strong type norm inequalities for the vector-valued weighted maximal function.

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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 26; no. 11; pp. 2191 - 2198
Main Author Wu, Cui Lan
Format Journal Article
LanguageEnglish
Published Heidelberg Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.11.2010
Springer Nature B.V
Subjects
Inequalities
Inequality
Mathematical analysis
Mathematical functions
Mathematics
Mathematics and Statistics
Norms
Remakes & sequels
Studies
Vector space
充分必要条件
加权不等式
加权模不等式
向量值
极大函数
weighted inequalities
(
Hölder’s inequality
42B25
family
vector-valued weighted maximal function
Online AccessGet full text
ISSN1439-8516
1439-7617
DOI10.1007/s10114-010-8009-7

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Summary:We give in this paper a necessary and sufficient condition of weighted weak and strong type norm inequalities for the vector-valued weighted maximal function.
Bibliography:O174.2
Ap（ω） family, vector-valued weighted maximal function, weighted inequalities, HSlder＇sinequality
11-2039/O1
O178
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ObjectType-Article-2
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ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-010-8009-7