Séminaire Orléans

The Haar system as an unconditional basis in Sobolev spaces
Andreas Seeger (Univ. Wisconsin - Madison)
Thursday 04 June 2015 14:00 -  Orléans -  Salle de Séminaire

Résumé :
Marcinkiewicz showed that the orthogonal system of Haar functions on the real line is an unconditional basis on $L^p$, for $p\in(1,\infty)$. We consider the question : When is it an unconditional basis on spaces measuring smoothness. This is well understood for the scale of Besov spaces but less so for the scale of ($L^p$)-Sobolev spaces. Our solution involves various quantitative results for Haar projections. This is joint work with Tino Ullrich (Bonn).

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