Acta mathematica scientia,Series B ›› 2018, Vol. 38 ›› Issue (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

Xuejun ZHANG, Shenlian LI, Qingli SHANG, Yuting GUO   

  1. 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.

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

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