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arXiv · 1401.0467

A note on failure of energy reversal for classical fractional singular integrals

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

For alpha in [0,n) we demonstrate the failure of energy reversal for the vector of alpha-fractional Riesz transforms, and more generally for any vector of alpha-fractional convolution singular integrals having a kernel with vanishing integral on every great circle of the sphere.

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Eric T. Sawyer, Chun-Yen Shen, Ignacio Uriarte-Tuero. 2014-01-02. A note on failure of energy reversal for classical fractional singular integrals. https://arxiv.org/abs/1401.0467

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