3 papers
math.AP2026
Regularity properties of certain convolution operators in Hölder spaces
Matteo Dalla Riva, Massimo Lanza de Cristoforis, Paolo Musolino
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…
math.AP2026
Hölder regularity of the solutions of Fredholm integral equations on upper Ahlfors regular sets
M. Lanza_de_Cristoforis, M. Norman
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 s…
math.AP2024
A limiting case of a theorem of C. Miranda for layer potentials in Schauder spaces
Massimo Lanza de Cristoforis
The aim of this paper is to prove a theorem of C.~Miranda for the single and double layer potential corresponding to the fundamental solution of a second order differential operato…