Singular values of fractional integral operators: A unification of theorems of Hille, Tamarkin, and Chang (Q1093880)
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scientific article; zbMATH DE number 4024106
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singular values of fractional integral operators: A unification of theorems of Hille, Tamarkin, and Chang |
scientific article; zbMATH DE number 4024106 |
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Singular values of fractional integral operators: A unification of theorems of Hille, Tamarkin, and Chang (English)
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1986
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The authors derive upper bounds for the singular values of a certain class of fractional integral operators, by a method that requires no complex variable arguments. Such bounds are then used to extend earlier results [\textit{E. Hille} and \textit{J. D. Tamarkin}, Acta Math. 57, 1-76 (1931; Zbl 0003.00902); \textit{S. H. Chang}, Proc. Lond. Math. Soc., III. Ser. 2, 22-29 (1952; Zbl 0046.110)] concerning the eigenvalues and singular values of more general integral operators.
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upper bounds for the singular values of a certain class of fractional integral operators
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eigenvalues
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