On the monotonicity of some singular integral operators
The authors study monotone singular integral operators, maximal monotone operators, adjoint operators and equations with logarithmic kernels.NEWLINENEWLINE The singular integral operators are of the form \(Q= qS\), where \(S\) is the Cauchy singular integral operator on the interval \((0,1)\) and \(q\) is a power or logarithmic function.NEWLINENEWLINE The singular integral operators are proved to be monotone and maximal monotone in the spaces \(L^2\) with power weights.NEWLINENEWLINE The equations with logarithmic kernels are two integral equations with weakly singular kernels of logarithmic type.
scientific article; zbMATH DE number 6051067
scientific article