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arXiv · 1507.01211

Haar projection numbers and failure of unconditional convergence in Sobolev spaces

Andreas Seeger·Tino Ullrich
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Abstract

For $1<p<\infty$ we determine the precise range of $L_p$ 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.

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Andreas Seeger, Tino Ullrich. 2015-07-05. Haar projection numbers and failure of unconditional convergence in Sobolev spaces. https://arxiv.org/abs/1507.01211

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