Regularity properties of Haar Frames

We prove that pointwise and global Hölder regularity can be characterized using the coefficients on the Haar tight frame obtained by using a finite union of shifted Haar bases, despite the fact that the elements composing the frame are discontinuous.

Bibliographic Details
Main Authors: Jaffard, Stéphane, Krim, Hamid
Format: Article
Language:English
Published: Académie des sciences 2021-11-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.228/