@article {
author = {Hassanlou, Mostafa and Abbasi, Ebrahim},
title = {Bergman and Dirichlet spaces in the unit ball and symmetric lifting operator},
journal = {AUT Journal of Mathematics and Computing},
volume = {4},
number = {2},
pages = {155-160},
year = {2023},
publisher = {Amirkabir University of Technology},
issn = {2783-2449},
eissn = {2783-2287},
doi = {10.22060/ajmc.2022.21778.1107},
abstract = {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 investigate the action of symmetric lifting operator on the Bergman space in the unit ball. Also, we state a characterization for Dirichlet space and consider symmetric lifting operator on the Dirichlet space in the unit ball.},
keywords = {Symmetric lifting operator,Bergman space,Dirichlet space, Pseudo-hyperbolic metric},
url = {https://ajmc.aut.ac.ir/article_5005.html},
eprint = {https://ajmc.aut.ac.ir/article_5005_406b2153e9a979a51060d31b7bcbf7cc.pdf}
}