The Dirichlet problem in a class of generalized weighted spaces

Abstract

We show continuity in generalized weighted Morrey spaces of sub-linear integral operators generated by some classical integral operators and commutators. The obtained estimates are used to study global regularity of the solution of the Dirichlet problem for linear uniformly elliptic operators with discontinuous data.

25 pages

References in corpus (1)

• Generalized Morrey regularity for parabolic equations with discontinuity data

Cited by in corpus (1)

• The Dirichlet problem for the uniformly higher-order elliptic equations in generalized weighted Sobolev-Morrey spaces