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arXiv · 2508.12134

H\"older extension for fractional Laplacian

Feng Li
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Abstract

In this note, we characterize the sharp boundary condition such that the fractional harmonic extensions with H\"older regularity up to the boundary is globally H\"older continuous. The proofs are based on estimates of fractional harmonic measure decay and uniform fractional fatness of the complement of the domain.

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Feng Li. 2025-08-16. H\"older extension for fractional Laplacian. https://arxiv.org/abs/2508.12134

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