$L^p$ Bounds for the Commutators of Rough Singular Integrals Associated with Surfaces of Revolution

$L^p$ Bounds for the Commutators of Rough Singular Integrals Associated with Surfaces of Revolution

Year:    2015

Analysis in Theory and Applications, Vol. 31 (2015), Iss. 2 : pp. 176–183

Abstract

In this paper, we establish the $L^p({\Bbb R}^{n+1} )$ boundedness for the commutators of singular integrals associated to surfaces of revolution, $\{(t,\phi(|t|)):t\in {\Bbb R}^{n}\}$, with rough kernels $\Omega\in L(\log L)^2({\Bbb S}^{n-1})$, if $\phi(|t|)=|t|$.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2015.v31.n2.7

Analysis in Theory and Applications, Vol. 31 (2015), Iss. 2 : pp. 176–183

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Commutator singular integral surface of revolution rough kernel.