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19 April 2024
 
  » arxiv » 1104.5347

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A sharp estimate of weighted dyadic shifts of complexity 0 and 1
Alexander Reznikov ; Sergei Treil ; Alexander Volberg ;
Date 28 Apr 2011
AbstractA simple shortcut to proving sharp weighted estimates for the Martingale Transform and for the dyadic shift of order 1 (and so for the Hilbert transform) is presented. It is a unified proof for these both transforms.
Key words: Calderon--Zygmund operators, $A_2$ weights, $A_1$ weights, Carleson embedding theorem, Bellman function, dyadic shifts, nonhomogeneous Harmonic Analysis.
Source arXiv, 1104.5347
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