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.
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@article{CRMATH_2021__359_9_1107_0,
author = {Jaffard, St\'ephane and Krim, Hamid},
title = {Regularity properties of {Haar} {Frames}},
journal = {Comptes Rendus. Math\'ematique},
pages = {1107--1117},
publisher = {Acad\'emie des sciences, Paris},
volume = {359},
number = {9},
year = {2021},
doi = {10.5802/crmath.228},
language = {en},
url = {http://www.numdam.org/articles/10.5802/crmath.228/}
}
TY - JOUR AU - Jaffard, Stéphane AU - Krim, Hamid TI - Regularity properties of Haar Frames JO - Comptes Rendus. Mathématique PY - 2021 SP - 1107 EP - 1117 VL - 359 IS - 9 PB - Académie des sciences, Paris UR - http://www.numdam.org/articles/10.5802/crmath.228/ DO - 10.5802/crmath.228 LA - en ID - CRMATH_2021__359_9_1107_0 ER -
%0 Journal Article %A Jaffard, Stéphane %A Krim, Hamid %T Regularity properties of Haar Frames %J Comptes Rendus. Mathématique %D 2021 %P 1107-1117 %V 359 %N 9 %I Académie des sciences, Paris %U http://www.numdam.org/articles/10.5802/crmath.228/ %R 10.5802/crmath.228 %G en %F CRMATH_2021__359_9_1107_0
Jaffard, Stéphane; Krim, Hamid. Regularity properties of Haar Frames. Comptes Rendus. Mathématique, Tome 359 (2021) no. 9, pp. 1107-1117. doi : 10.5802/crmath.228. http://www.numdam.org/articles/10.5802/crmath.228/
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