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math.CA2015★ 3 cited
Lower bounds for Haar projections: deterministic examples
Andreas Seeger, Tino Ullrich
In a previous paper by the authors the existence of Haar projections with growing norms in Sobolev-Triebel-Lizorkin spaces has been shown via a probabilistic argument. This existen…
math.CA2015
Haar projection numbers and failure of unconditional convergence in Sobolev spaces
Andreas Seeger, Tino Ullrich
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-Lizo…