A Sobolev Space Property of Logarithm of Lipschitz functions

2022/10/09 by Yifei Pan, Pan, Yifei
Mathematics · #26B15 #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2210.04364

openalex publication_date 2022/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a Lipschitz function f on an open set in ℝⁿ, we consider the Lⁿ integrability of the quotient (|∇ f|)/(|f|) over its natural domain of definition.

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