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Abstract <p>In this paper it is proved that there exists a weighted space <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11957_2025_7219_Article_IEq1.gif" Format="GIF" Height="22" Rendition="HTML" Resolution="72" Type="Linedraw" Width="53" /> </InlineMediaObject> <EquationSource Format="TEX">\(L_{\mu}^{1}[0,1]\)</EquationSource> <!--ContMath2570009Grigoryan-m1--> </InlineEquation> for which it is possible to construct a universal pair <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11957_2025_7219_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="41" /> </InlineMediaObject> <EquationSource Format="TEX">\((U,{\delta})\)</EquationSource> <!--ContMath2570009Grigoryan-m2--> </InlineEquation> with respect to the Walsh system.</p>

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On Universal Pairs with Respect to Walsh System

  • 期刊论文

  • 发表日期：

    2025年6月27日

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  • M. G. Grigoryan,
  • A. A. Sargsyan

摘要

Abstract

In this paper it is proved that there exists a weighted space \(L_{\mu}^{1}[0,1]\) for which it is possible to construct a universal pair \((U,{\delta})\) with respect to the Walsh system.