Singular Integral Operators in Generalized Morrey Spaces on Curves in the Complex Plane

被引：0

作者：

Burtseva, Evgeniya ^{[1
]}

机构：

[1] Lulea Univ Technol, Lulea, Sweden

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 05期

关键词：

Operator theory; singular integral operator; Morrey space; weighted estimates; normal solvability; weighted Morrey space; WEIGHTED HARDY;

D O I：

10.1007/s00009-017-1004-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the boundedness of the Cauchy singular integral operators on curves in complex plane in generalized Morrey spaces. We also consider the weighted case with radial weights. We apply these results to the study of Fredholm properties of singular integral operators in weighted generalized Morrey spaces.

引用

页数：15

共 50 条

[1] Singular Integral Operators in Generalized Morrey Spaces on Curves in the Complex Plane
Evgeniya Burtseva
[J]. Mediterranean Journal of Mathematics, 2017, 14
[2] Multilinear Singular Integral Operators on Generalized Weighted Morrey Spaces
Hu, Yue
Li, Zhang
Wang, Yueshan
[J]. JOURNAL OF FUNCTION SPACES, 2014, 2014
[3] ON THE BOUNDEDNESS OF THE MAXIMAL OPERATOR AND SINGULAR INTEGRAL OPERATORS IN GENERALIZED MORREY SPACES
Akbulut, Ali
Guliyev, Vagif
Mustafayev, Rza
[J]. MATHEMATICA BOHEMICA, 2012, 137 (01): : 27 - 43
[4] Hardy and singular operators in weighted generalized Morrey spaces with applications to singular integral equations
Lukkassen, D.
Meidell, A.
Persson, L. -E.
Samko, N.
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2012, 35 (11) : 1300 - 1311
[5] Endpoint boundedness for commutators of singular integral operators on weighted generalized Morrey spaces
Jinyun Qi
Xuefang Yan
Wenming Li
[J]. Journal of Inequalities and Applications, 2020
[6] Boundedness of the anisotropic maximal and anisotropic singular integral operators in generalized Morrey spaces
Vagif S. Guliyev
Rza Ch. Mustafayev
[J]. Acta Mathematica Sinica, English Series, 2011, 27 : 2361 - 2370
[7] Endpoint boundedness for commutators of singular integral operators on weighted generalized Morrey spaces
Qi, Jinyun
Yan, Xuefang
Li, Wenming
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
[8] ROUGH SINGULAR INTEGRAL OPERATORS AND ITS COMMUTATORS ON GENERALIZED WEIGHTED MORREY SPACES
Guliyev, Vagif S.
Hamzayev, Vugar H.
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2016, 19 (03): : 863 - 881
[9] Boundedness of the anisotropic maximal and anisotropic singular integral operators in generalized Morrey spaces
Guliyev, Vagif S.
Mustafayev, Rza Ch.
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2011, 27 (12) : 2361 - 2370
[10] Multi linear Singular and Fractional Integral Operators on Generalized Weighted Morrey Spaces
Guliyev, V. S.
Omarova, M. N.
[J]. AZERBAIJAN JOURNAL OF MATHEMATICS, 2015, 5 (01): : 104 - 132

← 1 2 3 4 5 →