Scholarlink

Abstract <p>We consider the anisotropic Lorentz space of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12202_2025_8181_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\(2\pi\)</EquationSource> <!--LobJMat2560012Akishev-m1--> </InlineEquation>-periodic functions of <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12202_2025_8181_Article_IEq2.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\(m\)</EquationSource> <!--LobJMat2560012Akishev-m2--> </InlineEquation> variables and the Nikol’skii–Besov space of functions with mixed generalized logarithmic smoothness. Embedding theorems are proved for spaces of functions with mixed generalized logarithmic smoothness.</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

On Embedding Theorems for Spaces with Mixed Generalized Smoothness

  • 期刊论文

  • 发表日期：

    2025年2月1日

查看全文
  • G. Akishev

摘要

Abstract

We consider the anisotropic Lorentz space of \(2\pi\) -periodic functions of \(m\) variables and the Nikol’skii–Besov space of functions with mixed generalized logarithmic smoothness. Embedding theorems are proved for spaces of functions with mixed generalized logarithmic smoothness.