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arXiv · 1310.3507

On the Separated Bumps Conjecture for Calderon-Zygmund Operators

Michael T Lacey
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Abstract

We study the `separated bump conjecture' of Cruz-Uribe & Perez, and Cruz-Uribe & Reznikov & Volberg. In the L^p setting, we formulate a stronger version of this conjecture, and show that under it, a two weight inequality holds for all CZOs. When p=2, this is the result of Nazarov & Reznikov & Volberg (1306.2653). Our argument is based on stopping time arguments and the extra hypothesis is used in a clear-cut and seemingly essential way. This argument could be of some help in searching for a counterexample to the conjecture.

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Michael T Lacey. 2014-03-19. On the Separated Bumps Conjecture for Calderon-Zygmund Operators. https://arxiv.org/abs/1310.3507

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