Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (7): 974-980.

• Articles • Previous Articles     Next Articles

harmonic and &Phi|- subharmonic Functions on Riemannian Surfaces

 WANG Pei-He, SHEN Chun-Li   

  • Online:2005-12-30 Published:2005-12-30
  • Supported by:

    国家自然科学基金(10371039)和山东省、上海市重点学科项目及曲阜师范大学科研启动资金资助

Abstract:

(M, g) is assumed to be a Riemannian surface, the paper stated here firstly defines the Φ - Dirichlet integral of the functions on M, then reaches the main theorem about the bounded property of the Φ- subharmonic functions on M with finite Φ - Dirichlet integral.

Key words: Riemannian surface, Φ- subharmonic functions; &Phi, - Dirichlet integral

CLC Number: 

  • 58J05
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