Global tangential Calderon-Zygmund type estimates for the regional fractional Laplacian

Published 16 Sep 2022 in math.AP | (2209.07939v1)

Abstract: We discuss tangential Sobolev-estimates up to the boundary for solutions to the regional fractional laplacian on the upper half-plane. These estimates can be used to reduce the boundary Calderon-Zygmund theory of any dimension to a one-dimensional nonlocal problem.

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