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

[31] Singular Integral Operators on Variable Lebesgue Spaces with Radial Oscillating Weights
Karlovich, Alexei Yu.
[J]. OPERATOR ALGEBRAS, OPERATOR THEORY AND APPLICATIONS, 2010, 195 : 185 - 212
[32] Composition operators on variable exponent Lebesgue spaces
Bajaj, D. S.
Datt, G.
[J]. ANALYSIS MATHEMATICA, 2024, 50 (02) : 345 - 366
[33] THE BOUNDEDNESS FOR A CLASS OF ROUGH FRACTIONAL INTEGRAL OPERATORS ON VARIABLE EXPONENT LEBESGUE SPACES
Huiling Wu and Jiacheng Lan (Lishui University
[J]. Analysis in Theory and Applications, 2012, 28 (03) : 286 - 293
[34] SINGULAR INTEGRAL OPERATORS, JOHN NIRENBERG INEQUALITIES AND TRIEBEL LIZORKIN TYPE SPACES ON WEIGHTED LEBESGUE SPACES WITH VARIABLE EXPONENTS
Ho, Kwok-Pun
[J]. REVISTA DE LA UNION MATEMATICA ARGENTINA, 2016, 57 (01): : 85 - 101
[35] Local Fredholm Spectra and Fredholm Properties of Singular Integral Operators on Carleson Curves Acting on Weighted Hölder Spaces
Vladimir Rabinovich
Natasha Samko
Stefan Samko
[J]. Integral Equations and Operator Theory, 2006, 56 : 257 - 283
[36] SEMI-FREDHOLM SINGULAR INTEGRAL OPERATORS WITH PIECEWISE CONTINUOUS COEFFICIENTS ON WEIGHTED VARIABLE LEBESGUE SPACES ARE FREDHOLM
Karlovich, Alexei Yu.
[J]. OPERATORS AND MATRICES, 2007, 1 (03): : 427 - 444
[37] Rough Hausdorff operators on Lebesgue spaces with variable exponent
Ziwei Li
Jiman Zhao
[J]. Annals of Functional Analysis, 2023, 14
[38] MAXIMAL AND CALDERON-ZYGMUND OPERATORS IN WEIGHTED GRAND VARIABLE EXPONENT LEBESGUE SPACES
Kokilashvili, V
Meskhi, A.
[J]. TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2019, 173 (02) : 127 - 131
[39] WEIGHTED VARIABLE EXPONENT LEBESGUE SPACES ON A PROBABILITY SPACE
Aydin, Ismail
Aydin, Demet
[J]. JOURNAL OF SCIENCE AND ARTS, 2023, (04): : 977 - 986
[40] Approximation of the functions in weighted Lebesgue spaces with variable exponent
Jafarov, Sadulla Z.
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2018, 63 (10) : 1444 - 1458

← 1 2 3 4 5 →