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arXiv · 1709.09595

A two weight local Tb theorem for the Hilbert transform

Eric T. Sawyer·Chun-Yen Shen·Ignacio Uriarte-Tuero
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Abstract

We obtain a two weight local Tb theorem for any elliptic and gradient elliptic fractional singular integral operator T on the real line, and any pair of locally finite positive Borel measures on the line. This includes the Hilbert transform and in a sense improves on the T1 theorem by the authors and M. Lacey.

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Eric T. Sawyer, Chun-Yen Shen, Ignacio Uriarte-Tuero. 2017-09-27. A two weight local Tb theorem for the Hilbert transform. https://arxiv.org/abs/1709.09595

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