On the boundedness of generalized integration operators on Hardy spaces

• Chalmoukis, N. ^[1] ; Nikolaidis, G. ^[2]
  1. [1] University of Milano-Bicocca

     University of Milano-Bicocca

     Milán, Italia

     
  2. [2] Aristotle University of Thessaloniki

     Aristotle University of Thessaloniki

     Dimos Thessaloniki, Grecia

     
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 77, Fasc. 1, 2026, págs. 195-213
• Idioma: inglés
• DOI: 10.1007/s13348-024-00464-6
• Texto completo no disponible (Saber más ...)
• Resumen

  • We study the boundedness and compactness properties of the generalized integration operator T_{g,a} when it acts between distinct Hardy spaces in the unit disc of the complex plane. This operator has been introduced in Chalmoukis (Proc Am Math Soc 148(8):3325–3337, 2020) by the first author in connection to a theorem of Cohn about factorization of higher order derivatives of functions in Hardy spaces. We answer in the affirmative a conjecture stated in the same work, therefore giving a complete characterization of the class of symbols g for which the operator is bounded from the Hardy space H^p to H^q, \, 0

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