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math.FA2023
Mapping properties of certain integral operators
Victor Polunin, Vladimir Vasilyev, Nelly Erygina
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--Slobode…
math.FA2019
Operator symbols. II
Vladimir Vasilyev
We consider special classes of linear bounded operators in Banach spaces and suggest certain operator variant of symbolic calculus. It permits to formulate an index theorem and to…
math.FA2019
Operator symbols
Vladimir Vasilyev
We consider special elliptic operators in functional spaces on manifolds with a boundary which has some singular points. Such an operator can be represented by a sum of operators,…