Scholarlink

<p>In this paper, we prove the trace theorems in the setting of Riesz potential operator for Herz-Morrey spaces and present some examples to illustrate the optimality of certain parametric conditions. As an application we prove the same inequalities including Sobolev-type inequalities and Gagliardo-Nirenberg-Sobolev inequality on Herz-Morrey spaces under some proper assumptions on the exponents. We will also establish the Sobolev embedding theorem for Herz-Morrey Sobolev spaces.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Trace theorems on Herz-Morrey spaces with applications to Sobolev type inequalities

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年9月25日

查看全文
  • Abdul Hamid Ganie,
  • Ghada Ali Basendwah,
  • Babar Sultan,
  • Najla M. Aloraini,
  • Ioan-Lucian Popa

摘要

In this paper, we prove the trace theorems in the setting of Riesz potential operator for Herz-Morrey spaces and present some examples to illustrate the optimality of certain parametric conditions. As an application we prove the same inequalities including Sobolev-type inequalities and Gagliardo-Nirenberg-Sobolev inequality on Herz-Morrey spaces under some proper assumptions on the exponents. We will also establish the Sobolev embedding theorem for Herz-Morrey Sobolev spaces.