Abstract
AbstractIn this paper, we characterize completely the compactness of linear combinations of composition operators acting on the space $H^{\infty }(\mathbb{B}_{N})$
H
∞
(
B
N
)
of bounded holomorphic functions over the unit ball $\mathbb{B}_{N}$
B
N
from two different aspects. The same problems are also investigated on the space $H^{\infty }(\mathbb{D}^{N})$
H
∞
(
D
N
)
over the unit polydisk $\mathbb{D}^{N}$
D
N
.
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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