The Dirichlet problem in a class of generalized weighted Morrey spaces

We show continuity in generalized weighted Morrey spaces Mp,ϕ(w) 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... More

We show continuity in generalized weighted Morrey spaces Mp,ϕ(w) 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. Less