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

中图分类号：

学科分类号：

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.

引用

页码：113 / 132

页数：19