The Dirichlet problem in a class of generalized weighted spaces
Analysis of PDEs
2025-12-10 v1
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.
Cite
@article{arxiv.1504.02256,
title = {The Dirichlet problem in a class of generalized weighted spaces},
author = {Vagif S. Guliyev and Mehriban Omarova and Lubomira Softova},
journal= {arXiv preprint arXiv:1504.02256},
year = {2025}
}
Comments
25 pages