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$L^{p}$ BOUNDS FOR MARCINKIEWICZ INTEGRALS

Published online by Cambridge University Press:  10 December 2003

Yong Ding  and
Yibiao Pan
Yong Ding
Affiliation:
Department of Mathematics, Beijing Normal University, Beijing 100875, China ([email protected])
Yibiao Pan
Affiliation:
Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA ([email protected])
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Abstract

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In this paper the authors establish the $L^p$ boundedness for several classes of Marcinkiewicz integral operators with kernels satisfying a condition introduced by Grafakos and Stefanov in Indiana Univ. Math. J.47 (1998), 455–469.

AMS 2000 Mathematics subject classification: Primary 42B25; 42B99

Keywords

Marcinkiewicz integralLittlewood–Paley $g$-functionrough kernelsurfaces of revolution
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 46 , Issue 3 , October 2003 , pp. 669 - 677
Copyright
Copyright © Edinburgh Mathematical Society 2003