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<p>We use a new version of Schur’s test to establish the boundedness of Forelli Rudin type integral operators from <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(L^p\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mi>p</mi> </msup> </math></EquationSource> </InlineEquation> to <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(L^q\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mi>q</mi> </msup> </math></EquationSource> </InlineEquation> on the unit ball of a non singular cone. Our results allow to extend the boundedness conditions of Bergman projection in the minimal ball obtained by G. Mengotti and E. H. Youssfi [<CitationRef CitationID="CR13">13</CitationRef>].</p>

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Boundedness of Forelli Rudin type integral operators on the unit ball of a non singular cone

  • 期刊论文

  • 发表日期：

    2025年9月16日

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  • Abélard Marius Gbir Yarkaï,
  • Jocelyn Gonessa,
  • Faustin Archange Touadéra,
  • Ernest Mada,
  • Francial G. B. Libengue Dobele-Kpoka

摘要

We use a new version of Schur’s test to establish the boundedness of Forelli Rudin type integral operators from \(L^p\) L p to \(L^q\) L q on the unit ball of a non singular cone. Our results allow to extend the boundedness conditions of Bergman projection in the minimal ball obtained by G. Mengotti and E. H. Youssfi [13].