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Bounds on singular numbers of one class of integral operators

✍ Scribed by G. V. Rozenblyum

Publisher
Springer US
Year
1973
Tongue
English
Weight
368 KB
Volume
1
Category
Article
ISSN
1573-8795

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A criterion for a certain class of integral operators to belong to Schatten-von Neumann symmetric normed ideals is given. In particular, when \(2 \leqslant p<\infty\), it is shown that the Schatten \(p\)-norm of such an operator can be estimated by constant multiples of an integral expression which

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## Abstract Necessary and sufficient analytical conditions are determined for a singular integral operator of the form __aP + bQ__ with bounded measurable coefficients to be a ϕ‐operator on __L__~__p__~(Ξ“) for all 1 < __p__ < ∞. where Ξ“ is a closed Lyapunov curve.