Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel-Lizorkin spaces with variable exponents.

IF 1.6 3区数学 Q1 Mathematics

Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-07-11 DOI:10.1186/s13660-018-1759-y

Jingshi Xu, Jinlai Zhu

引用次数: 1

Abstract

In this paper, we give Leibniz-type estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel-Lizorkin spaces with variable exponents. To obtain the estimate for Triebel-Lizorkin spaces with variable exponents, we present their approximation characterization.

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Besov和triiebel - lizorkin变指数空间中与双线性Hörmander类相关的双线性伪微分算子的估计

本文给出了Besov和triiebel - lizorkin变指数空间中与双线性Hörmander类相关的双线性伪微分算子的莱布尼兹型估计。为了得到具有变指数的triiebel - lizorkin空间的估计，我们给出了它们的近似表征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.