Gagliardo–Nirenberg Inequalities in Lorentz Type Spaces

被引：0
|
作者：
Wei Wei
Yanqing Wang
Yulin Ye
机构：
[1] Northwest University,School of Mathematics and Center for Nonlinear Studies
[2] Zhengzhou University of Light Industry,College of Mathematics and Information Science
[3] Henan University,School of Mathematics and Statistics
来源：
Journal of Fourier Analysis and Applications | 2023年 / 29卷
关键词：
Gagliardo–Nirenberg inequality; Lorentz spaces; Littlewood–Paley decomposition; 35A23; 42B35; 42B25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we derive some new Gagliardo–Nirenberg type inequalities in Lorentz type spaces without restrictions on the second index of Lorentz norms, which generalize almost all known corresponding results. Our proof mainly relies on the Bernstein inequalities in Lorentz spaces, the embedding relation among various Lorentz type spaces, and Littlewood–Paley decomposition techniques.
引用
收藏
相关论文
共 50 条
12345