On the monotonicity of some singular integral operators

被引：0
|
作者：
Junghanns, Peter [1 ]
von Wolfersdorf, Lothar [2 ]
机构：
[1] TU Chemnitz, Fak Math, D-09107 Chemnitz, Germany
[2] TU Bergakad Freiberg, Fak Math & Informat, D-09596 Freiberg, Germany
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2012年 / 35卷 / 08期
关键词：
singular integral operators; monotonicity; weakly singular kernels; CONVOLUTION EQUATIONS; 3RD KIND;
D O I：
10.1002/mma.1605
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper deals with the monotonicity of singular integral operators of the form Q=qS where S is the Cauchy singular integral operator on the interval (0,1) of the real axis R and q is a power or logarithmic function. Under suitable assumptions, such singular integral operators are proved to be monotone and maximal monotone in L2 spaces with power weights. Moreover, two related integral equations with weakly singular kernels of logarithmic type are studied. Copyright (C) 2012 John Wiley & Sons, Ltd.
引用
收藏
页码：894 / 922
页数：29
相关论文
共 50 条
12345