Bellman functions and two weight inequalities for Haar multipliers

1997/11/18 by Fedor Nazarov, Sergei Treil, Nazarov, Fedor +3 · 3 citations
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.math/9711209

arxiv created 1997/11/18 · arxiv updated 2009/11/30

Abstract

We give necessary and sufficient conditions for two weight norm inequalities for Haar multipliers operators and for square functions. We also give sufficient conditions for two weight norm inequalities for the Hilbert transform.

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• An A₂ Theorem for One-Sided Calderón-Zygmund Operators
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• The optimal bound e in a dyadic version of Uchiyama's Lemma

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