$L^{p}$ BOUNDS FOR MARCINKIEWICZ INTEGRALS

Proceedings of the Edinburgh Mathematical Society

Yong Ding¹ 

[1] Yibiao Pan

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

DOI  :  10.1017/S0013091501000682

学科分类：数学（综合）

来源: Cambridge University Press

【 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

【 授权许可】

Unknown