Mapping properties of certain integral operators
Functional Analysis
2023-05-16 v1
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.
Cite
@article{arxiv.2305.08214,
title = {Mapping properties of certain integral operators},
author = {Victor Polunin and Vladimir Vasilyev and Nelly Erygina},
journal= {arXiv preprint arXiv:2305.08214},
year = {2023}
}
Comments
7 pages