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Tent spaces and Littlewood-Paley g-functions associated with Bergman spaces in the unit ball of C-n

文献类型：期刊论文

作者Chen, Zeqian2; Ouyang, Wei1
刊名COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
出版日期2018
卷号63期号:3页码:406-419
关键词Bergman space Bergman metric tent space Littlewood-Paley g-function
ISSN号1747-6933
DOI10.1080/17476933.2017.1316979
英文摘要In this paper, a family of holomorphic spaces of tent type in the unit ball of C-n is introduced, which is closely related to maximal and area integral functions in terms of the Bergman metric. It is shown that these spaces coincide with Bergman spaces. Furthermore, Littlewood-Paley type g-functions for the Bergman spaces are introduced in terms of the radial derivative, the complex gradient and the invariant gradient. The corresponding characterizations for Bergman spaces are obtained as well. As an application, we obtain new maximal and area integral characterizations for Besov spaces.
资助项目NSFC[11431011]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000426903500008
出版者TAYLOR & FRANCIS LTD
源URL[http://202.127.146.157/handle/2RYDP1HH/4759]  
专题中国科学院武汉植物园
通讯作者Ouyang, Wei
作者单位1.Chinese Acad Sci, Inst Geodesy & Geophys, Ctr Computat & Explorat Geophys, State Key Lab Geodesy & Earths Dynam, Wuhan, Hubei, Peoples R China
2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan, Hubei, Peoples R China
推荐引用方式
GB/T 7714		 Chen, Zeqian,Ouyang, Wei. Tent spaces and Littlewood-Paley g-functions associated with Bergman spaces in the unit ball of C-n[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS,2018,63(3):406-419.
APA Chen, Zeqian,&Ouyang, Wei.(2018).Tent spaces and Littlewood-Paley g-functions associated with Bergman spaces in the unit ball of C-n.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS,63(3),406-419.
MLA Chen, Zeqian,et al."Tent spaces and Littlewood-Paley g-functions associated with Bergman spaces in the unit ball of C-n".COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 63.3(2018):406-419.

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来源：武汉植物园

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