A sharp estimate of weighted dyadic shifts of complexity 0 and 1
Classical Analysis and ODEs
2011-04-29 v1 Analysis of PDEs
Abstract
A 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: Calder\on--Zygmund operators, weights, weights, Carleson embedding theorem, Bellman function, dyadic shifts, nonhomogeneous Harmonic Analysis.
Keywords
Cite
@article{arxiv.1104.5347,
title = {A sharp estimate of weighted dyadic shifts of complexity 0 and 1},
author = {Alexander Reznikov and Sergei Treil and Alexander Volberg},
journal= {arXiv preprint arXiv:1104.5347},
year = {2011}
}
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8 pages