Toeplitz operators with radial symbols on general analytic function spaces
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.
scientific article; zbMATH DE number 7609795
scientific article