Frontiers of Mathematics in China >

2013 , Vol. 8 >Issue 4: 891 - 905

DOI: https://doi.org/10.1007/s11464-012-0253-y

RESEARCH ARTICLE

Growth of certain harmonic functions in an n-dimensional cone

  • Lei QIAO , 1 ,
  • Guantie DENG 2
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  • 1. Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450002, China
  • 2. School of Mathematical Science, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China

Received date: 16 Aug 2010

Accepted date: 16 Oct 2012

Published date: 01 Aug 2013

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

We give the growth properties of harmonic functions at infinity in a cone, which generalize the results obtained by Siegel-Talvila.

Key words： Growth property; harmonic function; cone

Cite this article

Lei QIAO , Guantie DENG . Growth of certain harmonic functions in an n-dimensional cone[J]. Frontiers of Mathematics in China, 2013 , 8(4) : 891 -905 . DOI: 10.1007/s11464-012-0253-y

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