Hölder Regularity of the Solutions of Fredholm Integral Equations on Upper Ahlfors Regular Sets
ABSTRACT We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions, the validity of (generalized) Hölder continuity results for the solution of a Fredholm integral equation of the second kind. Here we note that upper Ahlfors growth conditions include also cases of nondoubling measures.
Authors
- Manuel Norman (ORCID: https://orcid.org/0000-0003-1761-1484)
- Massimo Lanza de Cristoforis (ORCID: https://orcid.org/0000-0001-6886-4647)
Institutions
- University of Padua (IT)
- Civita (IT)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2026-04-14
- DOI
- https://doi.org/10.1002/mma.70725
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni