具有迷你型核的多线性平方函数的迭代换向子估计。

IF 1.6 3区数学 Q1 Mathematics

Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-07-25 DOI:10.1186/s13660-018-1778-8

Zengyan Si, Qingying Xue

引用次数: 1

摘要

设TΠb→为由一个多线性平方函数和核满足dini型条件的Lipschitz函数生成的换向子。我们证明TΠb→从积勒贝格空间有界到勒贝格空间、Lipschitz空间和triiebel - lizorkin空间。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Estimates for iterated commutators of multilinear square fucntions with Dini-type kernels.

Let $T_{Π \vec{b}}$ be the commutator generated by a multilinear square function and Lipschitz functions with kernel satisfying Dini-type condition. We show that $T_{Π \vec{b}}$ is bounded from product Lebesgue spaces into Lebesgue spaces, Lipschitz spaces, and Triebel-Lizorkin spaces.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Inequalities and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.30

自引率

6.20%

发文量

136

审稿时长

3 months

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.