COMPACTNESS OF INTEGRAL OPERATORS IN LEBESGUE SPACES WITH MIXED NORM

ALBERTO FIORENZA; BABITA GUPTA; PANKAJ JAIN

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COMPACTNESS OF INTEGRAL OPERATORS IN LEBESGUE SPACES WITH MIXED NORM

机译：混合范数下LebesSGue空间中积分算子的紧性

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摘要

Compactness of certain double sized multidimensional integral operators is characterized in terms of the corresponding two-dimensional operators in the framework of weighted Lebesgue spaces with mixed norm.

机译：在具有混合范数的加权Lebesgue空间的框架中，某些二维多维积分算子的紧致性通过相应的二维算子来表征。

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来源
《Mathematical inequalities & applications 》 |2008年第2期| 共14页
作者
ALBERTO FIORENZA; BABITA GUPTA; PANKAJ JAIN;
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原文格式 PDF
正文语种 eng
中图分类数学 ;
关键词
Lebesgue space; mixed norm; compactness; Hardy Operator; Hardy-Steklov operator;

机译：Lebesgue空间;混合范数;紧致性;Hardy算子;Hardy-Steklov算子;

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专利

1. COMPACTNESS OF INTEGRAL OPERATORS IN LEBESGUE SPACES WITH MIXED NORM [J] . ALBERTO FIORENZA, BABITA GUPTA, PANKAJ JAIN Mathematical inequalities & applications . 2008 ,第2期

机译：混合范数下LebesSGue空间中积分算子的紧性
2. Norms and essential norms of the singular integral operator with Cauchy Kernel on weighted Lebesgue spaces [J] . Nakazi T., Yamamoto T. Integral equations and operator theory . 2010 ,第1期

机译：加权Lebesgue空间上具有Cauchy核的奇异积分算子的范数和基本范数。
3. Norms and Essential Norms of the Singular Integral Operator with Cauchy Kernel on Weighted Lebesgue Spaces [J] . Takahiko Nakazi, Takanori Yamamoto Integral Equations and Operator Theory . 2010 ,第1期

机译：加权Lebesgue空间上具有Cauchy核的奇异积分算子的范数和本质范数。
4. Boundedness of Weighted Singular Integral Operators on a Carleson Curve in Grand Lebesgue Spaces [C] . Vakhtang Kokilashvili International Conference on Numerical Analysis and Applied Mathematics . 2010

机译：大烟草曲线上Carleson曲线上加权奇异积分运算符的界限
5. Weighted Norm Inequalities for the Maximal Operator on Variable Lebesgue Spaces over Spaces of Homogeneous Type [D] . ?Cummings, Jeremy 2020

机译：齐型空间上的加权模不等式极大算变勒贝格空间
6. INTEGRAL REPRESENTATION OF LINEAR CONTINUOUS OPERATORS FROM THE SPACE OF LEBESGUE-BOCHNER SUMMABLE FUNCTIONS INTO ANY BANACH SPACE [O] . Witold M. Bogdanowicz 1965

机译：线性连续算子从Lebesgue-Bochner可加函数空间到任何Banach空间的积分表示
7. Bounded operators on mixed norm Lebesgue spaces [O] . Evseev, Nikita, Menovschikov, Alexander 2017

机译：混合范数Lebesgue空间的有界算子

COMPACTNESS OF INTEGRAL OPERATORS IN LEBESGUE SPACES WITH MIXED NORM

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