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

被引：0

作者：

Rabinovich, V. S. ^{[1
]}

Samko, S. G. ^{[2
]}

机构：

[1] Inst Politecn Nacl Mexico, Mexico City, DF, Mexico

[2] Univ Algarve, FCT, Faro, Portugal

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2012年 / 46卷 / 01期

关键词：

singular integral operator; variable exponent Lebesgue space; PSEUDODIFFERENTIAL-OPERATORS; OSCILLATING WEIGHTS; ALGEBRAS; SYMBOLS;

D O I：

10.1007/s10688-012-0011-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：73 / 76

页数：4

共 50 条

[1] Singular integral operators on weighted variable exponent Lebesgue spaces on composed Carleson curves
V. S. Rabinovich
S. G. Samko
[J]. Functional Analysis and Its Applications, 2012, 46 : 73 - 76
[2] Pseudodifferential Operators Approach to Singular Integral Operators in Weighted Variable Exponent Lebesgue Spaces on Carleson Curves
Rabinovich, Vladimir
Samko, Stefan
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2011, 69 (03) : 405 - 444
[3] Pseudodifferential Operators Approach to Singular Integral Operators in Weighted Variable Exponent Lebesgue Spaces on Carleson Curves
Vladimir Rabinovich
Stefan Samko
[J]. Integral Equations and Operator Theory, 2011, 69 : 405 - 444
[4] Singular Integral Operators on Variable Lebesgue Spaces over Arbitrary Carleson Curves
Karlovich, Alexei Yu.
[J]. TOPICS IN OPERATOR THEORY: OPERATORS, MATRICES AND ANALYTIC FUNCTIONS, VOL 1, 2010, 202 : 321 - 336
[5] Vekua's generalized singular integral on Carleson curves in weighted variable Lebesgue spaces
Kokilashvili, Vakhtang
Samko, Stefan
[J]. OPERATOR ALGEBRAS, OPERATOR THEORY AND APPLICATIONS, 2008, 181 : 283 - +
[6] Maximal and singular integral operators in weighted grand variable exponent Lebesgue spaces
Vakhtang Kokilashvili
Alexander Meskhi
[J]. Annals of Functional Analysis, 2021, 12
[7] Maximal and singular integral operators in weighted grand variable exponent Lebesgue spaces
Kokilashvili, Vakhtang
Meskhi, Alexander
[J]. ANNALS OF FUNCTIONAL ANALYSIS, 2021, 12 (03)
[8] Generalized singular integral on Carleson curves in weighted grand Lebesgue spaces
Kokilashvili, Vakhtang
Meskhi, Alexander
Paatashvili, Vakhtang
[J]. TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2016, 170 (02) : 212 - 214
[9] Boundedness of maximal operators and potential operators on Carleson curves in Lebesgue spaces with variable exponent
V. Kokilashvili
S. Samko
[J]. Acta Mathematica Sinica, English Series, 2008, 24 : 1775 - 1800
[10] Boundedness of Maximal Operators and Potential Operators on Carleson Curves in Lebesgue Spaces with Variable Exponent
V.KOKILASHVILI
S.SAMKO
[J]. Acta Mathematica Sinica,English Series, 2008, 24 (11) : 1775 - 1800

← 1 2 3 4 5 →