Trace principle for Riesz potentials on Herz-type spaces and applications

被引：2
|
作者：
Bhat, M. Ashraf [1 ]
Kosuru, G. Sankara Raju [1 ]
机构：
[1] Indian Inst Technol Ropar, Dept Math, Rupnagar 140001, Punjab, India
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2024年 / 2024卷 / 01期
关键词：
Riesz potential; Adams' trace inequality; Herz spaces; Sobolev inequalities; HARDY-SPACES; SOBOLEV; INEQUALITY; THEOREM;
D O I：
10.1186/s13660-024-03192-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish trace inequalities for Riesz potentials on Herz-type spaces and examine the optimality of conditions imposed on specific parameters. We also present some applications in the form of Sobolev-type inequalities, including the Gagliardo-Nirenberg-Sobolev inequality and the fractional integration theorem in the Herz space setting. In addition, we obtain a Sobolev embedding theorem for Herz-type Sobolev spaces.
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页数：13
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