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arXiv · 1505.07822

The two weight T1 theorem for fractional Riesz transforms when one measure is supported on a curve

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

Using our T1 theorem with an energy side condition allowing common point masses, we extend our previous work in arXiv:1310.4484v3 on one measure supported on a line, to include regular C(1,delta) curves and to permit common point masses. In the special case of the Cauchy transform with one measure supported on the circle, this gives a slightly different conclusion than that in arXiv:1310.4820v4.

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Eric T. Sawyer, Chun-Yen Shen, Ignacio Uriarte-Tuero. 2015-05-28. The two weight T1 theorem for fractional Riesz transforms when one measure is supported on a curve. https://arxiv.org/abs/1505.07822

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