Scholarlink

<p>We study the existence of nontrivial translation invariant functionals on Orlicz spaces&#xa0;<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11202_2025_1602_Article_IEq1.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="48" /> </InlineMediaObject> <EquationSource Format="TEX">$ L^{\Phi}(G) $</EquationSource> </InlineEquation>and Morse–Transue spaces <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11202_2025_1602_Article_IEq2.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="54" /> </InlineMediaObject> <EquationSource Format="TEX">$ M^{\Phi}(G) $</EquationSource> </InlineEquation>, where <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11202_2025_1602_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">$ G $</EquationSource> </InlineEquation> is a locally compact group and <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11202_2025_1602_Article_IEq4.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">$ \Phi $</EquationSource> </InlineEquation> is an <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11202_2025_1602_Article_IEq5.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">$ N $</EquationSource> </InlineEquation>-function.</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

Translation Invariant Linear Functionals in Orlicz Spaces on Locally Compact Groups

  • 期刊论文

  • 发表日期：

    2025年9月30日

查看全文
  • Ya. A. Kopylov

摘要

We study the existence of nontrivial translation invariant functionals on Orlicz spaces  $ L^{\Phi}(G) $ and Morse–Transue spaces $ M^{\Phi}(G) $ , where $ G $ is a locally compact group and $ \Phi $ is an $ N $ -function.