On connection between solutions in different weighted spaces to one singular elliptic boundary value problem

We study the properties of solutions in special weighted spaces to a nonhomogeneous boundary value problem in a planar angle for a singular elliptic equation of the second order with the differential Bessel operator $\partial^{2} /\partial y^{2} +k \partial /(y \partial y)$, $k>0$, one of the variables. Under some constraints on the weight exponents, the boundary value problem is correctly solvable. We establish a relation connecting the solutions of the problem belonging to the function spaces with different weights.