Regularity properties of certain convolution operators in Hölder spaces
Abstract
The aim of this paper is to prove a theorem of C. Miranda on the Hölder regularity of convolution operators acting on the boundary of an open set in the limiting case in which the open set is of class $C^{1,1}$ and the densities are of class $C^{0,1}$. 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.
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Approximation Theory and Sequence Spaces
Advanced Banach Space Theory
Publication details
- Journal / source
- Differential and Integral Equations
- Publisher
- Khayyam Publishing, Inc
- Volume
- 39
- Issue
- 11/12
- Pages
- 867–896
- Publication date
- 15 September 2026
- Language
- EN