Power bounded weighted composition operators and power bounded below composition operators

• Autores: Hamzeh Keshavarzi
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 71, Fasc. 2, 2020, págs. 205-221
• Idioma: inglés
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• Resumen

  • In this paper, we characterize power bounded weighted composition operators on weighted Bergman spaces of strongly pseudoconvex bounded domains in {\mathbb {C}}^n. Also, we introduce the notion of power bounded below operators, then, for \alpha >0, we characterize power bounded below composition operators on {\mathcal {D}}_\alpha, the weighted Dirichlet space on the unit disk of the complex plane.