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Boundedness properties of semi-discrete sampling operators in Mellin–Lebesgue spaces

  • * Corresponding author: Carlo Bardaro

    * Corresponding author: Carlo Bardaro 
Carlo Bardaro and Ilaria Mantellini have been partially supported by the "Gruppo Nazionale per l'Analisi Matematica e Applicazioni (GNAMPA)" of the "Istituto di Alta Matematica (INDAM)" as well as by the projects "Ricerca di Base 2019 of University of Perugia (title: Misura, Integrazione, Approssimazione e loro Applicazioni)" and "Progetto Fondazione Cassa di Risparmio cod. nr. 2018.0419.021 (title: Metodi e Processi di Intelligenza artificiale per lo sviluppo di una banca di immagini mediche per fini diagnostici (B.I.M.))"
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  • In this paper we study boundedness properties of certain semi-discrete sampling series in Mellin–Lebesgue spaces. Also we examine some examples which illustrate the theory developed. These results pave the way to the norm-convergence of these operators.

    Mathematics Subject Classification: Primary: 47B38, 47A58; Secondary: 41A36, 94A20.


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