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
2015
DOI
10.1093/imrn/rnu210
ISSN
1073-7928