Power bounded and power bounded below composition operators on Dirichlet Type spaces

Liu Yang; Ruishen Qian; Liu Yang; Ruishen Qian

doi:10.3934/math.2021123

AIMS Mathematics

2021, Volume 6, Issue 2: 2018-2030. doi: 10.3934/math.2021123

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Research article

Power bounded and power bounded below composition operators on Dirichlet Type spaces

Liu Yang ¹,
Ruishen Qian ^{2
,
,}

1.
Department of Mathematics, Shanxi Xueqian Normal University, Xian 710100, shanxi, China
2.
School of Mathematics and Statistics Lingnan Normal University 524048, Zhanjiang, Guangdong, P. R. China

Received: 11 September 2020 Accepted: 03 December 2020 Published: 07 December 2020
MSC : 30D45, 30D50

Motivated by ^[11,12], under some conditions on weighted function $ K $, we investigated power bounded and power bounded below composition operators on Dirichlet Type spaces $ {\mathcal{D}_{K}} $.
- composition operator,
- power bounded,
- Dirichlet Type spaces $ {\mathcal{D}_{K}} $
Citation: Liu Yang, Ruishen Qian. Power bounded and power bounded below composition operators on Dirichlet Type spaces[J]. AIMS Mathematics, 2021, 6(2): 2018-2030. doi: 10.3934/math.2021123

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Abstract

Motivated by ^[11,12], under some conditions on weighted function $ K $, we investigated power bounded and power bounded below composition operators on Dirichlet Type spaces $ {\mathcal{D}_{K}} $.

References

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