Bergman and Dirichlet spaces in the unit ball and symmetric lifting operator

Let $\mathbb{B}_n$ be the open unit ball in $\mathbb{C}^n$ and $\mathbb{B}_n^2 = \mathbb{B}_n \times \mathbb{B}_n$. The symmetric lifting operator which lifts analytic functions from $H(\mathbb{B}_n)$ to $H(\mathbb{B}_n^2)$ is defined as follow\[L(f)(z,w) = \frac{f(z) - f(w)}{z-w}.\]In this paper we...

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Bibliographic Details

Published in:	AUT Journal of Mathematics and Computing
Main Authors:	Mostafa Hassanlou, Ebrahim Abbasi
Format:	Article
Language:	English
Published:	Amirkabir University of Technology 2023-03-01
Subjects:	symmetric lifting operator‎ bergman space‎ dirichlet space ‎ pseudo-hyperbolic metric
Online Access:	https://ajmc.aut.ac.ir/article_5005_a7c9449c18ca9a858f7189a79e02ce46.pdf