Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-10T09:35:00.253Z Has data issue: false hasContentIssue false
  • English
  • Français

$L^{p}$ 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 (dingy@bnu.edu.cn)
Yibiao Pan
Affiliation:
Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA (yibiao@pitt.edu)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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