English

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

Classical Analysis and ODEs 2025-06-05 v1 Functional Analysis

Abstract

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

Keywords

Cite

@article{arxiv.2506.03341,
  title  = {A measure theoretic approach to Lipschitz regularity and its Haar type wavelet analysis},
  author = {Hugo Aimar and Juliana Boasso},
  journal= {arXiv preprint arXiv:2506.03341},
  year   = {2025}
}

Comments

23 pages, 2 figures, 2 tables

R2 v1 2026-07-01T02:57:53.755Z