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

preprint2014arXivOpen access

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

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A Bellman function proof of the L2L^2L2 bump conjecture

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