数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (6): 1791-1802.doi: 10.1016/S0252-9602(17)30107-8

• 论文 • 上一篇    下一篇

THE EQUIVALENT CHARACTERIZATION OF F(p, q, s) SPACE ON BOUNDED SYMMETRIC DOMAINS OF Cn

黎深莲, 张学军, 徐思   

  1. College of Mathematics and Computer Science, Hunan Normal University, Changsha 410006, China
  • 收稿日期:2016-07-13 修回日期:2017-02-06 出版日期:2017-12-25 发布日期:2017-12-25
  • 通讯作者: Xuejun ZHANG E-mail:xuejunttt@263.net
  • 作者简介:Shenlian LI,1493351705@qq.com;Si XU,372613910@qq.com
  • 基金资助:

    The research is supported by the National Natural Science Foundation of China (11571104) and the Hunan Provincial Innovation Foundation for Postgraduate (CX2017B220). Key Laboratory of High Performance Computing and Stochastic Information Processing, College of Mathematics and Computer Science, Hunan Normal University, Changsha, Hunan 410081, P.R. China. Supported by the Construct Program of the Key Discipline in Hunan Province.

THE EQUIVALENT CHARACTERIZATION OF F(p, q, s) SPACE ON BOUNDED SYMMETRIC DOMAINS OF Cn

Shenlian LI, Xuejun ZHANG, Si XU   

  1. College of Mathematics and Computer Science, Hunan Normal University, Changsha 410006, China
  • Received:2016-07-13 Revised:2017-02-06 Online:2017-12-25 Published:2017-12-25
  • Contact: Xuejun ZHANG E-mail:xuejunttt@263.net
  • Supported by:

    The research is supported by the National Natural Science Foundation of China (11571104) and the Hunan Provincial Innovation Foundation for Postgraduate (CX2017B220). Key Laboratory of High Performance Computing and Stochastic Information Processing, College of Mathematics and Computer Science, Hunan Normal University, Changsha, Hunan 410081, P.R. China. Supported by the Construct Program of the Key Discipline in Hunan Province.

摘要:

Let Ω be a bounded symmetric domain in Cn. The purpose of this article is to define and characterize the general function space F(p,q,s) on Ω. Characterizing functions in the F(p,q,s) space is a work of considerable interest nowadays. In this article, the authors give several equivalent descriptions of the functions in the F(p,q,s) space on Ω in terms of fractional differential operators. At the same time, the authors give the relationship between F(p,q,s) space and Bloch type space on Ω too.

关键词: F(p,q,s) space, equivalent description, bounded symmetric domain

Abstract:

Let Ω be a bounded symmetric domain in Cn. The purpose of this article is to define and characterize the general function space F(p,q,s) on Ω. Characterizing functions in the F(p,q,s) space is a work of considerable interest nowadays. In this article, the authors give several equivalent descriptions of the functions in the F(p,q,s) space on Ω in terms of fractional differential operators. At the same time, the authors give the relationship between F(p,q,s) space and Bloch type space on Ω too.

Key words: F(p,q,s) space, equivalent description, bounded symmetric domain