2 papers
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.AP2023
On some solvability theorems for pseudo-differential equations
Vladimir Vasilyev, Victor Polunin, Igor Shmal
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…