Essential Norm of Integral Type Operators Mapping into Certain Banach Spaces of Analytic Functions

Autor: Sanatpour, Amir H., Pirasteh, Maryam M., Eghbali, Nasrin
Zdroj: Computational Methods and Function Theory; 20240101, Issue: Preprints p1-20, 20p
Abstrakt: We study certain integral type operators acting on a large class of Banach spaces of analytic functions on the open unit disc. The operators map into weighted Banach spaces of analytic functions, Bloch type spaces or Zygmund type spaces. Besides characterizing boundedness, we give essential norm estimates of these operators. In order to investigate these operators, we also study weighted differentiation composition operators between these spaces.
Databáze: Supplemental Index