Wavelet Characterization of Inhomogeneous Lipschitz Spaces on Spaces of Homogeneous Type and Its Applications
Year: 2025
Type: preprint
Abstract: In this article, the author establishes a wavelet characterization of inhomogeneous Lipschitz space $\mathrm{lip}_θ(\mathcal{X})$ via Carlson sequence, where $\mathcal{X}$ is a space of homogeneous type introduced by R. R. Coifman and G. Weiss. As applications, characterizations of several geometric conditions on $\mathcal{X}$, involving the upper bound, the lower bound, and the Ahlfors regular condition, are obtained.
Source: arXiv (Cornell University)
Author: Wang, Fan
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6979322497
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