Open Access
2012 ROUGH SINGULAR INTEGRALS ASSOCIATED TO SUBMANIFOLDS
Wenjuan Li, Kôzô Yabuta
Taiwanese J. Math. 16(4): 1557-1587 (2012). DOI: 10.11650/twjm/1500406748

Abstract

We investigate the $L^p$ boundedness for a class of singular integral operators associated to submanifolds, including surfaces of revolution, under the $L(\log L)(S^{n-1})$ or Block space condition on the kernel functions. Our results improve known results.

Citation

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Wenjuan Li. Kôzô Yabuta. "ROUGH SINGULAR INTEGRALS ASSOCIATED TO SUBMANIFOLDS." Taiwanese J. Math. 16 (4) 1557 - 1587, 2012. https://doi.org/10.11650/twjm/1500406748

Information

Published: 2012
First available in Project Euclid: 18 July 2017

zbMATH: 1267.42017
MathSciNet: MR2951152
Digital Object Identifier: 10.11650/twjm/1500406748

Subjects:
Primary: 42B20
Secondary: 42B25 , 47G10

Keywords: $L^p$ boundedness , Rough kernel , singular integrals

Rights: Copyright © 2012 The Mathematical Society of the Republic of China

Vol.16 • No. 4 • 2012
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