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Hölder regularity of the solutions of Fredholm integral equations on upper Ahlfors regular sets (2510.08264v1)
Published 9 Oct 2025 in math.AP and math.FA
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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