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arXiv · 2305.08214

Mapping properties of certain integral operators

Victor Polunin·Vladimir Vasilyev·Nelly Erygina
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Abstract

We study mapping properties of two-dimensional linear integral operators in some weighted spaces with special kernels. The considered spaces are certain variant of Sobolev--Slobodetskii spaces and their generalizations related to Banach spaces. Sufficient conditions for boundedness for such operators in these spaces are obtained.

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Victor Polunin, Vladimir Vasilyev, Nelly Erygina. 2023-05-14. Mapping properties of certain integral operators. https://arxiv.org/abs/2305.08214

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