On the problem of classification of Banach algebras of singular integral operators with PC-coefficients in \(L_p\) spaces on composite contours (Q1289337)
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scientific article; zbMATH DE number 1292507
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the problem of classification of Banach algebras of singular integral operators with PC-coefficients in \(L_p\) spaces on composite contours |
scientific article; zbMATH DE number 1292507 |
Statements
On the problem of classification of Banach algebras of singular integral operators with PC-coefficients in \(L_p\) spaces on composite contours (English)
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9 January 2000
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It is shown that the dimension of the values and the degree of integrability of the functions together with the topological structure of the underlying contours essentially characterize the Banach algebras in the title. Certain weights seem to be irrelevant.
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classification of Banach algebras
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singular integral operators with PC-coefficients
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Cauchy singular operator
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degree of integrability
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weights
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0.9156493
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0.8782468
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0.8757406
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0.8741647
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