Composition operators on the normal weight Dirichlet type space in the unit disc

doi:10.1007/s11464-022-1022-1

Front. Math. China

2022, Vol. 17

Issue (4) : 545-552 https://doi.org/10.1007/s11464-022-1022-1

RESEARCH ARTICLE

Composition operators on the normal weight Dirichlet type space in the unit disc

Xuejun ZHANG(

), Min ZHOU, Hongxin CHEN

College of Mathematics and Statistics, Hunan Normal University, Changsha 410006, China

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Abstract

Let $p > 0$ and $ν$ be a normal function on $[0, 1)$ . In this paper, several equivalent characterizations are given for which composition operators are bounded or compact on the normal weight Dirichlet type space $D ν p (D)$ in the unit disc.

Keywords Composition operator normal weight Dirichlet type space boundedness compactness unit disc

Corresponding Author(s): Xuejun ZHANG

Online First Date: 08 December 2022 Issue Date: 19 December 2022

Cite this article:

Xuejun ZHANG,Min ZHOU,Hongxin CHEN. Composition operators on the normal weight Dirichlet type space in the unit disc[J]. Front. Math. China, 2022, 17(4): 545-552.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-022-1022-1
https://academic.hep.com.cn/fmc/EN/Y2022/V17/I4/545

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