[PDF][PDF] Some equivalent definitions of Besov spaces of generalized smoothness

L Loosveldt, S Nicolay - Math. Nachr, 2019 - academia.edu
Some equivalent definitions of Besov spaces of generalized smoothness Page 1 Received: 9
March 2018 Revised: 3 October 2018 Accepted: 8 January 2019 DOI: 10.1002/mana.201800111 …

Generalized T_u^ p spaces: On the trail of Calderón and Zygmund

L Loosveldt, S Nicolay - Dissertationes Mathematicae, 2020 - orbi.uliege.be
DISSERTATIONES MATHEMATICAE Page 1 INSTITUTE OF MATHEMATICS, POLISH
ACADEMY OF SCIENCES DISSERTATIONES MATHEMATICAE Online First version …

New Methods for Signal Analysis: Multifractal Formalisms based on Profiles. From Theory to Practice.

T Kleyntssens - 2019 - orbi.uliege.be
The multifractal formalisms allow to numerically approximate the Hölder spectrum of a real-
life signal f. In this thesis, we study some multifractal formalisms based on profiles: these are …

About some notions of regularity for functions

L Loosveldt - 2021 - orbi.uliege.be
Given a function, a first natural desire is to know its``behaviour''. To achieve this goal,
different notions, such as differentiability, Lipschitz or Hölderian conditions, have been …

Different possible behaviors of wavelet leaders of the Brownian motion

A Ayache, C Esser, T Kleyntssens - Statistics & Probability Letters, 2019 - Elsevier
The aim of this paper is to prove that wavelet leaders allow to get very fine properties of the
trajectories of the Brownian motion: we show that the three well-known behaviors of its …