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Volume integral means over spherical shell

Part of: Holomorphic functions of several complex variables

Published online by Cambridge University Press:  12 April 2021

Boban Karapetrović
Boban Karapetrović*
Affiliation:
Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000Belgrade, Serbia
*
e-mail: bkarapetrovic@matf.bg.ac.rs
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Abstract

We investigate integral means over spherical shell of holomorphic functions in the unit ball $\mathbb {B}_n$ of $\mathbb {C}^n$ with respect to the weighted volume measures and their relation with the weighted Hadamard product. The main result of this paper has many consequences which improve some well-known estimates related to the Hadamard product in Hardy spaces and weighted Bergman spaces.

Keywords

Volume integral meansBergman spacesspherical shellHadamard product

MSC classification

Primary: 32A36: Bergman spaces
Secondary: 32A10: Holomorphic functions
Type
Article
Information
Canadian Mathematical Bulletin , Volume 65 , Issue 1 , March 2022 , pp. 180 - 197
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Copyright
© Canadian Mathematical Society 2021

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