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arXiv · 1310.4484

A geometric condition, necessity of energy, and two weight boundedness of fractional Riesz transforms

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

We prove that the energy conditions in arXiv:1302.5093v7 are implied by the fractional A2 conditions and testing conditions for the vector of fractional Riesz transforms when one measure is supported on a line. Then we apply the main theorem in arXiv:1302.5093v7 to obtain a T1 theorem for the fractional Riesz transforms when one weight is supported on a line.

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Eric T. Sawyer, Chun-Yen Shen, Ignacio Uriarte-Tuero. 2014-03-16. A geometric condition, necessity of energy, and two weight boundedness of fractional Riesz transforms. https://arxiv.org/abs/1310.4484

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