## On Integral Operators with Operator-Valued Kernels

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##### Date

2010

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Hindawi

##### Abstract

Here, we study the continuity of integral operators with operator-valued kernels. Particularly we get L(q) (S;X) -> L(p) (T;Y) estimates under some natural conditions on the kernel k : T x S -> B (X, Y), where X and Y are Banach spaces, and (T, Sigma(T), mu) and (S, Sigma(S), nu) are positive measure spaces: Then, we apply these results to extend the well- known Fourier Multiplier theorems on Besov spaces.

##### Description

##### Keywords

Mathematics, Applied, Mathematics

##### Citation

Shahmurov, R. (2010): On Integral Operators with Operator-Valued Kernels. Journal of Inequalities and Applications. Volume 2010.