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CHARACTERIZATIONS OF HARDY-TYPE, BERGMAN-TYPE AND DIRICHLET-TYPE SPACES ON CERTAIN CLASSES OF COMPLEX-VALUED FUNCTIONS

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成果类型:
期刊论文
作者:
Chen, Shaolin*;Rasila, Antti;Vuorinen, Matti
通讯作者:
Chen, Shaolin
作者机构:
[Chen, Shaolin] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421008, Hunan, Peoples R China
[Rasila, Antti] Guangdong Technion Israel Inst Technol, Coll Sci, 241 Daxue Rd, Shantou 515063, Guangdong, Peoples R China
[Vuorinen, Matti] Univ Turku, Dept Math & Stat, Turku 20014, Finland
通讯机构:
[Chen, Shaolin] H
Hengyang Normal Univ, Coll Math & Stat, Hengyang 421008, Hunan, Peoples R China.
语种:
英文
关键词:
Hardy-type space;Bergman-type space;Dirichlet-type space
期刊:
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA
ISSN:
1239-629X
年:
2019
卷:
44
期:
1
页码:
427-448
基金类别:
k=1 Applying Theorem 5, we conclude that f ∈ b1,ϑ(Bn), where ϑ = p + 2α − 2. The proof of the Corollary is complete. □ Acknowledgements. We thank the referee for providing constructive comments and help in improving this paper. This research was partly supported by the National Natural Science Foundation of China (No. 11571216 and No. 11401184), the Science and Technology Plan Project of Hunan Province (No. 2016TP1020), the Science and Technology Plan Project of Hengyang City (2017KJ183), and Hunan Province double First-class Construction Application characteristic discipline Project (Xiangjiaotong [2018] 469).
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
In this paper, we continue our investigation of function spaces on certain classes of complex-valued functions. In particular, we give characterizations on Hardy-type, Bergman-type and Dirichlet-type spaces. Furthermore, we present applications of our resu...

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