Singular integral operators on weighted variable exponent Lebesgue spaces on composed Carleson curves

Rabinovich V.S.; Samko S.G.

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Singular integral operators on weighted variable exponent Lebesgue spaces on composed Carleson curves

机译：合成的Carleson曲线上的加权变量指数Lebesgue空间上的奇异积分算子

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摘要

The paper is devoted to singular integral operators acting on weighted variable exponent Lebesgue spaces on certain composed Carleson curves. Necessary and sufficient conditions for Fredholmness and an index formula are obtained.

机译：本文致力于在某些合成的Carleson曲线上作用于加权变量指数Lebesgue空间的奇异积分算子。获得了Fredholmness的充要条件和指标公式。

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《Functional analysis and its applications 》 |2012年第1期| 共4页
作者
Rabinovich V.S.; Samko S.G.;
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正文语种 eng
中图分类泛函分析 ;
关键词
singular integral operator; variable exponent Lebesgue space;

机译：奇异积分算子;变指数Lebesgue空间;

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专利

1. Singular integral operators on weighted variable exponent Lebesgue spaces on composed Carleson curves [J] . Rabinovich V.S., Samko S.G. Functional analysis and its applications . 2012 ,第1期

机译：合成的Carleson曲线上的加权变量指数Lebesgue空间上的奇异积分算子
2. Pseudodifferential Operators Approach to Singular Integral Operators in Weighted Variable Exponent Lebesgue Spaces on Carleson Curves [J] . Vladimir Rabinovich, Stefan Samko Integral Equations and Operator Theory . 2011 ,第3期

机译：Carleson曲线上加权变量指数Lebesgue空间中奇异积分算子的伪微分算子方法
3. Singular integral operators, John–Nirenberg inequalities and Triebel–Lizorkin type spaces on weighted Lebesgue spaces with variable exponents [J] . Kwok-Pun Ho Revista de la Unión Matemática Argentina . 2016 ,第1期

机译：具有可变指数的加权Lebesgue空间上的奇异积分算子，John-Nirenberg不等式和Triebel-Lizorkin型空间
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. SINGULAR INTEGRAL OPERATORS ON VARIABLE LEBESGUE SPACES OVER ARBITRARY CARLESON CURVES [O] . Alexei Yu. Karlovich 2010

机译：任意Carleson曲线上变勒空间上的奇异积分算子。

Singular integral operators on weighted variable exponent Lebesgue spaces on composed Carleson curves

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