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arXiv:1507.01211 [math.CA]AbstractReferencesReviewsResources

Haar projection numbers and failure of unconditional convergence in Sobolev spaces

Andreas Seeger, Tino Ullrich

Published 2015-07-05Version 1

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.

Categories: math.CA, math.FA
Subjects: 46E35, 46B15, 42C40
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