Title: Hausdorff Operators on Some Spaces of Holomorphic Functions on the Unit Disc
Authors: Mirotin, A.R.
Keywords: Hausdorff operator
bloch space
bergman space
hardy space
approximation of the identity
Issue Date: 2021
Citation: Mirotin, A.R. Hausdorff Operators on Some Spaces of Holomorphic Functions on the Unit Disc / A.R. Mirotin // Complex Analysis and Operator Theory. - 2021. - Article number: 85. - P. 1-17.
Abstract: We introduce Hausdorff operators over the unit disc and give conditions for boundedness of such operator in Bloch, Bergman, and Hardy spaces on the disc. Approximation of the identity by Hausdorff operators is also considered.
URI: http://elib.gsu.by/jspui/handle/123456789/33646
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