A Priori Estimation of Solutions of a BoundaryProblem for a Pseudodifferential Equation with Degeneration

In the half-space, we obtain a coercive a priori estimation of solutions to the boundary value problem for a degenerate pseudodifferential equation. The left-hand side of the equation is the sum of a pseudo-differential operator with degeneracy, constructed by a special integral transform, and the differentiation operator. The a priori estimation is obtained in special weight spaces of Sobolev type, the norms in which are constructed with the use of a special integral transformation.