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arXiv · 1206.2861

On the Local $ Tb$ Theorem under Minimal Integrability

Michael T Lacey·Antti V Vähäkangas
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Abstract

We prove a version of the local Tb Theorem assuming that the accretive functions b_Q and T b_Q are locally L ^{p} integrable, for any 1< p < \infty . This improves a recent result of Hytonen-Nazarov. The proof strategy relies upon the their strategy, with additional techniques concerning twisted martingale differences and the use of random dyadic grids in the local Tb setting.

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Michael T Lacey, Antti V Vähäkangas. 2012-06-17. On the Local $ Tb$ Theorem under Minimal Integrability. https://arxiv.org/abs/1206.2861

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