Necessary and sufficient conditions for weighted Volterra integral operators to belong to Schatten-von Neumann ideals are established. Similar problems are solved for Hardy-type transforms and for some operators of potential type defined on R n and on spaces of homogeneous type. Moreover, two-sided estimates of Schatten-von Neumann norms for these integral transforms are obtained. In the last section we give the asymptotic behaviour of singular numbers of Erdelyi-Köber and Hadamard operators.
KeywordsIntegral Operator Singular System Orthonormal System Hankel Operator Entropy Number
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