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

Alexander Reznikov; Alexander Volberg; Fedor Nazarov; Sergei Treil

arxiv: 1202.2406 · v3 · pith:WNJSF2BCnew · submitted 2012-02-11 · 🧮 math.CA · math.AP

A Bellman function proof of the L² bump conjecture

Fedor Nazarov , Alexander Reznikov , Sergei Treil , Alexander Volberg This is my paper

classification 🧮 math.CA math.AP

keywords problembellmanfunctionapproachboundednessbumpcalderon--zygmundcondition

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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 L² bump conjecture

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