Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (6): 1040-1047.

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Some Characterizations of Bloch-type Spaces

Fu Xi1, Lu Bowen2   

  1. 1. Department of Mathematics, Shaoxing University, Zhejiang Shaoxing 312000;
    2. School of International Business, Zhejiang International Studies University, Hangzhou 310012
  • Received:2016-04-27 Revised:2016-09-30 Online:2016-12-26 Published:2016-12-26
  • Supported by:

    Supported by the NSFC (11501374) and the Natural Science Foundation of Zhejiang Province (LQ14A010006)

Abstract:

In this paper, we investigate some properties for Bloch-type spaces of harmonic mappings in the unit disc D and unit ball Bn of Cn. By using the pseudo-hyperbolic distance function in Bn, some derivative-free characterizations of harmonic Bloch-type spaces are obtained. This extends the corresponding known ones of holomorphic and harmonic mappings due to Chen et al. in[1-3].

Key words: Harmonic mapping, Bloch-type space, Majorant

CLC Number: 

  • O211.4
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