Open Access Research

Lp Bounds for the parabolic singular integral operator

Yanping Chen1*, Feixing Wang2 and Wei Yu3

Author Affiliations

1 Department of Applied Mathematics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China

2 Department of Information and Computer Science, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China

3 Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, China

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Journal of Inequalities and Applications 2012, 2012:121 doi:10.1186/1029-242X-2012-121

Published: 30 May 2012

Abstract

Let 1 < p < ∞ and n ≥ 2. The authors establish the Lp(ℝn+1) boundedness for a class of parabolic singular integral operators with rough kernels.

MR(2000) Subject Classification: 42B20; 42B25.

Keywords:
parabolic singular integral operator; rough kernel; surfaces of revolution