4.5 Article

POLYNOMIAL DIFFERENTIATION COMPOSITION OPERATORS FROM Hp SPACES TO WEIGHTED-TYPE SPACES ON THE UNIT BALL

Journal

JOURNAL OF MATHEMATICAL INEQUALITIES
Volume 17, Issue 1, Pages 365-379

Publisher

ELEMENT
DOI: 10.7153/jmi-2023-17-25

Keywords

Polynomial differentiation composition operator; Hardy space; weighted-type space; boundedness; compactness; essential norm

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This paper investigates the boundedness, compactness, and estimates the essential norm of a polynomial differentiation composition operator from the Hardy space Hp to the weighted-type spaces of holomorphic functions on the unit ball.
We characterize the boundedness, compactness, and estimate essential norm of a poly-nomial differentiation composition operator from the Hardy space Hp to the weighted-type spaces of holomorphic functions on the unit ball.

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