Haar projection numbers and failure of unconditional convergence in Sobolev spaces
Classical Analysis and ODEs
2019-06-11 v1 Functional Analysis
Abstract
For we determine the precise range of Sobolev spaces for which the Haar system is an unconditional basis. We also consider the natural extensions to Triebel-Lizorkin spaces and prove upper and lower bounds for norms of projection operators depending on properties of the Haar frequency set.
Keywords
Cite
@article{arxiv.1507.01211,
title = {Haar projection numbers and failure of unconditional convergence in Sobolev spaces},
author = {Andreas Seeger and Tino Ullrich},
journal= {arXiv preprint arXiv:1507.01211},
year = {2019}
}