Wavelet Characterization of Inhomogeneous Lipschitz Spaces on Spaces of Homogeneous Type and Its Applications

2025/04/21 by Wang, Fan
#Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2504.14816

Abstract

In this article, the author establishes a wavelet characterization of inhomogeneous Lipschitz space lip_θ(X) via Carlson sequence, where X is a space of homogeneous type introduced by R. R. Coifman and G. Weiss. As applications, characterizations of several geometric conditions on X, involving the upper bound, the lower bound, and the Ahlfors regular condition, are obtained.

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