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Inner functions in QK spaces and multipliers

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Veröffentlicht/Copyright: 11. Juni 2022
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Abstract

In this paper, under some conditions on weighted function K, we give some new equivalent characterizations of inner functions in QK spaces. Meanwhile, we also studied inner functions in QK spaces as multipliers of C𝓑(QK) ∩ BMOA, where C𝓑(QK) denoted the closure of QK spaces in Bloch spaces.


This work was supported by NNSF of China (No.11801250, No.11871257), Overseas Scholarship Program for Elite Young and Middle-aged Teachers of Lingnan Normal University, Yanling Youqing Program of Lingnan Normal University (No. YL20200202), the Key Program of Lingnan Normal University (No.LZ1905) and the Innovation and developing School Project of Guangdong Province (No. 2019KZDXM032).


  1. (Communicated by StanisƂawa Kanas)

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Received: 2020-03-04
Accepted: 2021-06-07
Published Online: 2022-06-11
Published in Print: 2022-06-27

© 2022 Mathematical Institute Slovak Academy of Sciences

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