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A Note on Failure of Energy Reversal for Classical...
Journal article

A Note on Failure of Energy Reversal for Classical Fractional Singular Integrals

Abstract

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

Authors

Sawyer ET; Shen C-Y; Uriarte-Tuero I

Journal

International Mathematics Research Notices, Vol. 2015, No. 19, pp. 9888–9920

Publisher

Oxford University Press (OUP)

Publication Date

January 1, 2015

DOI

10.1093/imrn/rnu210

ISSN

1073-7928

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