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<p>In this paper, we establish the boundedness of several discrete operators on generalized discrete Morrey spaces over <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11785_2025_1808_Article_IEq3.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathbb {Z}^d\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="double-struck">Z</mi> </mrow> <mi>d</mi> </msup> </math></EquationSource> </InlineEquation>. Under some conditions, we prove that the discrete Hardy–Littlewood maximal operator, the discrete Riesz potential, and the discrete fractional maximal operator are bounded on the spaces.</p>

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Some Operators on Generalized Discrete Morrey Spaces Over \({\mathbb {Z}}^d\)

  • 期刊论文

  • 发表日期：

    2025年9月5日

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  • Yusuf Ramadana

摘要

In this paper, we establish the boundedness of several discrete operators on generalized discrete Morrey spaces over \(\mathbb {Z}^d\) Z d . Under some conditions, we prove that the discrete Hardy–Littlewood maximal operator, the discrete Riesz potential, and the discrete fractional maximal operator are bounded on the spaces.