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<p>Let <i>G</i> be a locally compact abelian group with Haar measure and <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="43036_2024_419_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Phi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Φ</mi> </math></EquationSource> </InlineEquation> be a Young function. In this paper we characterize the space of bilinear Fourier multipliers as a dual space of a certain Banach algebras for Orlicz spaces.</p>

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Bilinear Fourier multipliers on Orlicz spaces as a dual space

  • 期刊论文

  • 发表日期：

    2025年1月31日

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  • Serap Öztop,
  • Rüya Üster

摘要

Let G be a locally compact abelian group with Haar measure and \(\Phi \) Φ be a Young function. In this paper we characterize the space of bilinear Fourier multipliers as a dual space of a certain Banach algebras for Orlicz spaces.