[Banach] Abstract of a paper by Andreas Seeger and Tino Ullrich

This is an announcement for the paper "Haar projection numbers and failure of unconditional convergence in Sobolev spaces" by Andreas Seeger and Tino Ullrich.

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.

Archive classification: math.CA math.FA

Mathematics Subject Classification: 46E35, 46B15, 42C40

Submitted from: seeger@math.wisc.edu

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1507.01211

or

http://arXiv.org/abs/1507.01211