Singular Integral Equations in Generalized Weighted Morrey Spaces

被引：0
|
作者：
Persson, Lars-Erik [1 ]
Samko, Natasha [2 ]
机构：
[1] Lulea Univ Technol, Lulea, Sweden
[2] Univ Algarve, P-8005 Faro, Portugal
来源：
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III | 2010年 / 1281卷
关键词：
Singular integral equations; Songhen equation; Fredholm theory; generalized weighted Morrey spaces; Matuszewska-Orlicz indices; OPERATORS; HARDY;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We consider singular integral equations with discontinuous coefficients in generalized weighted Morrey spaces. We prove a result on Fredholmness of such equations. Moreover, we give explicit formulas showing direct dependence of the number of solutions on the parameters defining the space. Finally we apply our result to derive concrete solutions, in this space, of Songhen equation which is of great interest in aerodynamics.
引用
收藏
页码：498 / +
页数：2
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