Hölder Regularity of the Solutions of Fredholm Integral Equations on Upper Ahlfors Regular Sets

Key Points

• The aim is to establish Hölder continuity results for solutions to Fredholm integral equations in metric measured spaces.
• Extended analysis to metric measured spaces with upper Ahlfors growth conditions.
• Examined solutions of Fredholm integral equations of the second kind.
• Considered cases with nondoubling measures.
• Validated Hölder continuity results for solutions under specific growth conditions.
• Demonstrated applicability to a wider class of measures.

Abstract