paper

A measure theoretic approach to Lipschitz regularity and its Haar type wavelet analysis

arXiv:2506.03341 · doi:10.3846/mma.2026.24576

Abstract

In this note, we extend the characterization of dyadic Lipschitz regularity of functions to non-atomic probability spaces, using generalized Haar systems.

23 pages, 2 figures, 2 tables

A measure theoretic approach to Lipschitz regularity and its Haar type wavelet analysis · wovepaper