AN INTEGRAL ESTIMATE AND THE EQUIVALENT NORMS ON F(p, q, s, k) SPACES IN THE UNIT BALL

数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (6): 1861-1880.

AN INTEGRAL ESTIMATE AND THE EQUIVALENT NORMS ON F(p, q, s, k) SPACES IN THE UNIT BALL

张学军, 黎深莲, 尚清丽, 郭雨婷

College of Mathematics and Statistics, Hunan Normal University, Changsha 410006, China

收稿日期:2017-05-17 修回日期:2018-04-09 出版日期:2018-12-25 发布日期:2018-12-28
通讯作者: Xuejun ZHANG E-mail:xuejunttt@263.net
作者简介:Shenlian LI,E-mail:201710100077@smail.hunnu.edu.cn;Qingli SHANG,E-mail:1007793671@qq.com;Yuting GUO,E-mail:947016922@qq.com
基金资助:
The research was 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.

AN INTEGRAL ESTIMATE AND THE EQUIVALENT NORMS ON F(p, q, s, k) SPACES IN THE UNIT BALL

Xuejun ZHANG, Shenlian LI, Qingli SHANG, Yuting GUO

College of Mathematics and Statistics, Hunan Normal University, Changsha 410006, China

Received:2017-05-17 Revised:2018-04-09 Online:2018-12-25 Published:2018-12-28
Contact: Xuejun ZHANG E-mail:xuejunttt@263.net
Supported by:
The research was 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/Abstract

摘要： In this article, the authors give a typical integral's bidirectional estimates for all cases. At the same time, several equivalent characterizations on the F(p,q,s,k) space in the unit ball of Cⁿ are given.

关键词: F(p,q,s,k) space, integral estimate, equivalent norm, unit ball

Abstract: In this article, the authors give a typical integral's bidirectional estimates for all cases. At the same time, several equivalent characterizations on the F(p,q,s,k) space in the unit ball of Cⁿ are given.

Key words: F(p,q,s,k) space, integral estimate, equivalent norm, unit ball

张学军, 黎深莲, 尚清丽, 郭雨婷. AN INTEGRAL ESTIMATE AND THE EQUIVALENT NORMS ON F(p, q, s, k) SPACES IN THE UNIT BALL[J]. 数学物理学报(英文版), 2018, 38(6): 1861-1880.

Xuejun ZHANG, Shenlian LI, Qingli SHANG, Yuting GUO. AN INTEGRAL ESTIMATE AND THE EQUIVALENT NORMS ON F(p, q, s, k) SPACES IN THE UNIT BALL[J]. Acta mathematica scientia,Series B, 2018, 38(6): 1861-1880.

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AN INTEGRAL ESTIMATE AND THE EQUIVALENT NORMS ON F(p, q, s, k) SPACES IN THE UNIT BALL

AN INTEGRAL ESTIMATE AND THE EQUIVALENT NORMS ON F(p, q, s, k) SPACES IN THE UNIT BALL

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