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Hausdorff Operators on Some Spaces of Holomorphic Functions on the Unit Disc

Published 13 Jan 2021 in math.FA and math.CV | (2101.05227v1)

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. Identity approximation by Hausdorff operators is also considered.

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