Scholarlink

<p>The study of some signal processing problems within Bayesian frameworks and semigroups theory, in the case where the Banach space under consideration may be nonseparable, was discussed in the paper published in 2022 by two of the authors. For the Cauchy problem for the diffusion equation, which is a typical example of evolution equation, there was studied the question of what can be saved in the study of the problem in the case with the initial data in the nonseparable classical Morrey space. In this paper we develop this approach to an essentially more general case of generalized Morrey spaces with general weights. The study is based on emersion of such spaces into weighted Lebesgue spaces with Muckenhoupt weights.</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

More on Contributions of Non-Separable Spaces to Solving the Evolution Equation: The Case of Weighted Generalized Morrey Spaces

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年1月6日

查看全文
  • Per Johan Nicklasson,
  • Natasha Samko,
  • Harpal Singh,
  • Daniele Storni

摘要

The study of some signal processing problems within Bayesian frameworks and semigroups theory, in the case where the Banach space under consideration may be nonseparable, was discussed in the paper published in 2022 by two of the authors. For the Cauchy problem for the diffusion equation, which is a typical example of evolution equation, there was studied the question of what can be saved in the study of the problem in the case with the initial data in the nonseparable classical Morrey space. In this paper we develop this approach to an essentially more general case of generalized Morrey spaces with general weights. The study is based on emersion of such spaces into weighted Lebesgue spaces with Muckenhoupt weights.