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January 2014 $L^{p}$-estimates for the rough singular integrals associated to surfaces
Honghai Liu
Osaka J. Math. 51(1): 225-245 (January 2014).

Abstract

In this paper we obtain the $L^{p}$-boundedness for the maximal functions and the singular integrals associated to surfaces $(y,\phi(\lvert y\rvert))$ with rough kernels, $1 < p < \infty$. The analogue estimate is also established for the corresponding maximal singular integrals.

Citation

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Honghai Liu. "$L^{p}$-estimates for the rough singular integrals associated to surfaces." Osaka J. Math. 51 (1) 225 - 245, January 2014.

Information

Published: January 2014
First available in Project Euclid: 8 April 2014

zbMATH: 1286.42020
MathSciNet: MR3192541

Subjects:
Primary: 42B20 , 42B25
Secondary: 42B15

Rights: Copyright © 2014 Osaka University and Osaka City University, Departments of Mathematics

Vol.51 • No. 1 • January 2014
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