On the problem of classification of Banach algebras of singular integral operators withPC-coefficients inL p spaces on composite contours
Copyright policy )On the problem of classification of Banach algebras of singular integral operators withPC-coefficients inL p spaces on composite contours
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.
Integral operators, Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.), degree of integrability, singular integral operators with PC-coefficients, Linear operators on function spaces (general), classification of Banach algebras, General theory of topological algebras, weights, Cauchy singular operator
Integral operators, Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.), degree of integrability, singular integral operators with PC-coefficients, Linear operators on function spaces (general), classification of Banach algebras, General theory of topological algebras, weights, Cauchy singular operator
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