Generalized spaces of pointwise regularity: To a general framework for the WLM
Laurent Loosveldt, Samuel Nicolay · arXiv (Cornell University) · 2019
In this work we generalize the spaces T^{p}_{u} introduced by Calderón 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.