arXiv subjects

Victor Polunin

Publications and source records attributed to Victor Polunin.

2 recordsLinked to original sources

arXiv2023

Mapping properties of certain integral operators

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.

math.FA↗

arXiv2023

On some solvability theorems for pseudo-differential equations

We study a model elliptic pseudo-differential equation and simplest boundary value problems for a half-space and a special cone in Sobolev--Slobodetskii spaces which have different smoothness with respect to separate variables. Sufficient conditions for a unique solvability for such boundary value problems are described.

math.AP↗