Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (3): 629-638.doi: 10.1016/S0252-9602(14)60035-7

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PSEUDOHYPERBOLIC METRIC AND UNIFORMLY DISCRETE SEQUENCES IN THE REAL UNIT BALL

 REN Guang-Bin, Uwe KAHLER   

  1. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China; CIDMA - Center of R&D in Mathematics and Applications, University of Aveiro, P-3810-193 Aveiro, Portugal
  • Received:2012-06-14 Revised:2013-09-02 Online:2014-05-20 Published:2014-05-20
  • Supported by:

    The first author is partially supported by the NNSF of China (11071230, 11371337), RFDP (20123402110068). The second author is supported by FEDER funds through COMPETE–Operational Programme Factors of Competitiveness (Programa Operacional Factores de Competitividade), and by Portuguese funds through the Center for Research and Development in Mathematics and Applications (University of Aveiro) and the Portuguese Foundation for Science and Technology (FCT–Funda¸c˜ao para a Ciˆencia e a Tecnologia), within project PEst-C/MAT/UI4106/2011 with COMPETE number FCOMP-01-0124-FEDER-022690.

Abstract:

We present an overview of the properties of the pseudohyperbolic metric in sev-eral real dimensions and study uniformly discrete sequences for the real unit ball in Rn.

Key words: Uniformly discrete sequences, harmonic functions, Bergman spaces, pseudohy-perbolic metric

CLC Number: 

  • 46E35
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