Regularity properties of certain convolution operators in H\"{o}lder spaces
Analysis of PDEs
2026-03-09 v3
Abstract
The aim of this paper is to prove a theorem of C.~Miranda on the H\"older regularity of convolution operators acting on the boundary of an open set in the limiting case in which the open set is of class and the densities are of class . The convolution operators that we consider are generalizations of those that are associated to layer potential operators, which are a useful tool for the analysis of boundary value problems.
Cite
@article{arxiv.2501.18342,
title = {Regularity properties of certain convolution operators in H\"{o}lder spaces},
author = {Matteo Dalla Riva and Massimo Lanza de Cristoforis and Paolo Musolino},
journal= {arXiv preprint arXiv:2501.18342},
year = {2026}
}
Comments
arXiv admin note: text overlap with arXiv:2409.11132, arXiv:2408.17192