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Haar projection numbers and failure of unconditional convergence in Sobolev spaces

Published 5 Jul 2015 in math.CA and math.FA | (1507.01211v1)

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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Authors (2)

  1. Andreas Seeger 
  2. Tino Ullrich 

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