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

doi:10.1080/17476933.2017.1316979

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	Tent spaces and Littlewood-Paley g-functions associated with Bergman spaces in the unit ball of C-n
	Chen, Zeqian 2; Ouyang, Wei 1
刊名	COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
	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
DOI	10.1080/17476933.2017.1316979
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
出版者	TAYLOR & FRANCIS LTD
WOS记录号	WOS:000426903500008
内容类型	期刊论文
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.