Generalized spaces of pointwise regularity: To a general framework for the WLM
Functional Analysis
2019-10-08 v1
Abstract
In this work we generalize the spaces T^{p}_{u} introduced by Calder\'on and Zygmund using a pointwise version of conditions defining the generalized Besov spaces and give conditions binding the functions belonging to these spaces and the wavelet coefficients of such functions. Next, we propose a multifractal formalism based on the new spaces wich generalize the so-called wavelet leaders method and show that it is satisfied on a prevalent set.
Keywords
Cite
@article{arxiv.1910.02651,
title = {Generalized spaces of pointwise regularity: To a general framework for the WLM},
author = {Laurent Loosveldt and Samuel Nicolay},
journal= {arXiv preprint arXiv:1910.02651},
year = {2019}
}