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arXiv · 2510.08264

H\"{o}lder regularity of the solutions of Fredholm integral equations on upper Ahlfors regular sets

M. Lanza_de_Cristoforis·M. Norman
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Abstract

We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions the validity of (generalized) H\"{o}lder 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.

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M. Lanza_de_Cristoforis, M. Norman. 2025-10-09. H\"{o}lder regularity of the solutions of Fredholm integral equations on upper Ahlfors regular sets. https://arxiv.org/abs/2510.08264

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