arXiv Open Access 2015

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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Abstrak

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.

Topik & Kata Kunci

Penulis (3)

E

Eric T. Sawyer

C

Chun-Yen Shen

I

Ignacio Uriarte-Tuero

Format Sitasi

Sawyer, E.T., Shen, C., Uriarte-Tuero, I. (2015). 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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