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Morrey spaces and weighted norm inequalities

Morrey spaces and weighted norm inequalities
莫雷空间和加权范数不等式
批准号：
23540187
负责人：
TANAKA Hitoshi
金额：
$2.33万
依托单位：
The University of Tokyo
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2011
资助国家：
日本
项目状态：
已结题
起止时间：
2011 至 2013
来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23540187/
关键词：
Morrey spacewieghted norm inequalityRiesz potentialpositibe operatorMorrey空間加重付ノルム不等式正作用素最大作用素分数積分作用素martinngale方向極大作用素多重Morreyノルム多重線形分数積分作用素Olsenの加重付きノルム不等式二つの加重付きノルム不等式斉次測度空間

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英文摘要
In this research, a theory of weights for multilinear fractional integral operators and multi(sub)linear fractional maximal operators in the framework of Morrey spaces is developed. Natural sufficient conditions for the one and two weight inequalities of these operators are given, and, as a corollary, the Olsen inequality for multilinear fractional integral operators is obtained.The local trace inequality for potential type integral operators in the framework of Morrey spaces is studied and the sufficient conditions for the norm inequality with a locally finite nonnegative Borel measure of potential type integral operators to hold are given. Necessary condition and sufficient condition for two-weight norm inequalities on Morrey spaces to hold are given for the Hardy-Littlewood maximal operator.Necessary and sufficient condition is also verified for the power weights.
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Weighted norm inequalities for multilinear fractional operators on Morrey spaces
DOI： 10.4064/sm205-2-2
发表时间： 2011
期刊： Studia Mathematica
影响因子： 0.8
作者： [Takeshi Iida;Enji Sato;Y. Sawano;Hitoshi Tanaka]
通讯作者： Takeshi Iida;Enji Sato;Y. Sawano;Hitoshi Tanaka
A new Beale-Kato-M ajda criteria for the 3D magneto-micropolar fluid equations in Orlicz-Morrey spaces
Orlicz-Morrey 空间中 3D 磁微极流体方程的新 Beale-Kato-M ajda 准则
DOI： --
发表时间： 2012
期刊： Math. Methods Appl. Sci
影响因子： --
作者： [Gala S., Sawano Y. and Tanaka H]
通讯作者： Sawano Y. and Tanaka H
Orlicz–Morrey Spaces and Fractional Operators
DOI： 10.1007/s11118-011-9239-8
发表时间： 2012-05
期刊： Potential Analysis
影响因子： 1.1
作者： [Y. Sawano;Satoko Sugano;Hitoshi Tanaka]
通讯作者： Y. Sawano;Satoko Sugano;Hitoshi Tanaka
A Characterization of Two-Weight Trace Inequalities for Positive Dyadic Operators in the Upper Triangle Case
DOI： 10.1007/s11118-013-9379-0
发表时间： 2013-02
期刊： Potential Analysis
影响因子： 1.1
作者： [Hitoshi Tanaka]
通讯作者： Hitoshi Tanaka
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