Lp BOUNDS FOR PARAMETRIC MARCINKIEWICZ INTEGRALS WITH MIXED HOMOGENEITY

被引：22
|
作者：
Liu, Feng [1 ]
Wu, Huoxiong [2 ]
Zhang, Daiqing [2 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2015年 / 18卷 / 02期
关键词：
Marcinkiewicz integrals; rough kernel; mixed homogeneity; maximal operators; Littlewood-Paley theory; LITTLEWOOD-PALEY OPERATOR; SINGULAR-INTEGRALS; BOUNDEDNESS; SURFACES;
D O I：
10.7153/mia-18-34
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider the parametric Marcinkiewicz integrals with mixed homogeneity along certain compound surfaces. Under the rather weakened size conditions on the integral kernels both on the unit sphere and in the radial direction, the L-p boundedness for such operators are given. As applications, the corresponding results for parametric Marcinkiewicz integral operators related to area integrals and Littlewood-Paley g*(lambda). functions are also obtained.
引用
收藏
页码：453 / 469
页数：17
相关论文
共 50 条
12345