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arXiv · 1202.2406

A Bellman function proof of the $L^2$ bump conjecture

Fedor Nazarov·Alexander Reznikov·Sergei Treil·Alexander Volberg
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Abstract

We approach the problem of finding the sharp sufficient condition of the boundedness of all two weight Calderon--Zygmund operators. We solve this problem in $L^2$ by writing a formula for a Bellman function of the problem.

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Fedor Nazarov, Alexander Reznikov, Sergei Treil, Alexander Volberg. 2012-02-11. A Bellman function proof of the $L^2$ bump conjecture. https://arxiv.org/abs/1202.2406

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