$L^{p}$ BOUNDS FOR MARCINKIEWICZ INTEGRALS

[摘要] 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

[学科分类] 数学（综合）

[关键词] Marcinkiewicz integral;Littlewood–Paley $g$-function;rough kernel;surfaces of revolution