Toeplitz operators with radial symbols on general analytic function spaces
type: Item
instance of: scholarly article
title: Toeplitz operators with radial symbols on general analytic function spaces
zbMATH Open document ID: 1506.47047
author: J. Taskinen
author: Alexey N. Karapetyants
published in: Complex Analysis and Operator Theory
publication date: 2022-10-31T00:00:00Z
review text: Toeplitz operators in the space of general analytic functions are considered under the assumption of radiality of the symbol. Rather general assumptions about the behaviour of the operator symbol are considered, which guarantee its boundedness. These conditions assume the positivity of the symbol or some integral averages of it. This, together with an assumption on the boundedness of the maximal Bergman projection, constitute sufficient conditions for the boundedness of the Toeplitz operator with a radial symbol.
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 7609795
zbMATH Keywords: Toeplitz operators with radial symbols
zbMATH Keywords: Berezin transform
zbMATH Keywords: spaces of analytic functions
MaRDI profile type: Publication
full work available at URL: s11785-022-01294-9
OpenAlex ID: W4307729969
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DOI: 10.1007/S11785-022-01294-9
description: scientific article; zbMATH DE number 7609795