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<p>We establish some properties of the analytic Besov spaces in tube domains over open convex homogeneous cones as a generalisation of similar work done in Békollé et al. (J. Reine Angew. Math. 647:25–56, 2010) for symmetric cones. Then we give some criteria for boundedness of the small Hankel operators on weighted mixed norm analytic Besov spaces as a generalisation of similar results found in Nana and Sehba (St. Petersb. Math. J. 30(4):723–750, 2018).</p>

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Small Hankel Operators on Mixed Norm Analytic Besov Spaces of Tube Domains Over Open Convex Homogeneous Cones

  • 期刊论文

  • 发表日期：

    2025年3月27日

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  • Cyrille Nana,
  • Ronald Tallie Peka

摘要

We establish some properties of the analytic Besov spaces in tube domains over open convex homogeneous cones as a generalisation of similar work done in Békollé et al. (J. Reine Angew. Math. 647:25–56, 2010) for symmetric cones. Then we give some criteria for boundedness of the small Hankel operators on weighted mixed norm analytic Besov spaces as a generalisation of similar results found in Nana and Sehba (St. Petersb. Math. J. 30(4):723–750, 2018).