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<p>The aim of this paper is to establish the Olsen's inequality for discrete Morrey spaces. Specifically, it focuses on a bilinear operator associated with the discrete fractional integral operator of order <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10474_2025_1557_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">\(\alpha\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation> within these spaces. To achieve this, the decomposition method for discrete Morrey spaces is thoroughly examined.</p>

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Olsen's inequality for discrete Morrey spaces

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • H. Gunawan,
  • Y. Ramadana,
  • Y. Sawano

摘要

The aim of this paper is to establish the Olsen's inequality for discrete Morrey spaces. Specifically, it focuses on a bilinear operator associated with the discrete fractional integral operator of order \(\alpha\) α within these spaces. To achieve this, the decomposition method for discrete Morrey spaces is thoroughly examined.