On rough singular integrals related to homogeneous mappings

被引：0
作者：
Feng Liu
Suzhen Mao
Huoxiong Wu
机构：
[1] Shandong University of Science and Technology,College of Mathematics and Systems Science
[2] Xiamen University,School of Mathematical Sciences
来源：
Collectanea Mathematica | 2016年 / 67卷
关键词：
Singular integrals; Rough kernels; Homogeneous mappings; Extrapolation; 42B20; 42B25;
D O I：
暂无
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摘要：
In this paper, we consider the singular integrals related to homogeneous mappings as well as the corresponding maximal truncated singular integrals. Under the rather weak size conditions on the integral kernels both on the unit sphere and in the radial direction, the Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^p$$\end{document} bounds for such operators are given, which essentially improve and generalize some known results.
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页码：113 / 132
页数：19
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