On the monotonicity of some singular integral operators (Q2894254)
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scientific article; zbMATH DE number 6051067
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the monotonicity of some singular integral operators |
scientific article; zbMATH DE number 6051067 |
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On the monotonicity of some singular integral operators (English)
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29 June 2012
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singular integral operators
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monotonicity
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weakly singular kernels
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logarithmic kernels
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Cauchy singular integral operator
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maximal monotone
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0.9223087
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0.9143077
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0.9141815
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0.9116765
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0.90986603
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0.90986603
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0.90849006
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0.90665364
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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.
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