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《ACTA MATHEMATIEA SCIENTIA》 1997-01
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The Converse to the Mean Value Theorem for Harmonic Functions and Harmonic Measure

Liu Jiakun (Tianjin Univ. ) Lai Xuejian (Nankai Univ. )  
In this paper we apply the theory of Markov chains to prove the converse to the mean value theorem for harmonic functions. And in a λ-Holder space we derive convergent rate of n-fold convolution of averaging operator.
【CateGory Index】: O174
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【References】
Chinese Journal Full-text Database 1 Hits
1 Liu Jiakun; Zhang Lianfang; Wang Lei; Shu Yantai(Department of Mathematics, Tianjin University, Tianjin 300072);The Limit Theorem on a Mean Operator-Markov Chain[J];ACTA MATHEMATIEA SCIENTIA;2000-01
【Co-citations】
Chinese Journal Full-text Database 7 Hits
1 WANG Zheng1,2, MA Cuifang2, WANG Ying1, WENG Guilan3(1. Institute of Policy Management, CAS, Beijing 100080, China;2. Geocomputation Key Lab of CEDD, East China Normal University, Shanghai 200062, China;3. Dept. of Urban and Environment, Peking University, Beijing 100871, China);A Geographical Investigation into Knowledge Spillovers between Regions[J];Acta Geographica Sinica;2003-05
2 Wang Zheng(Institute of Geography, Chinese Academy of Sciences and State Planning Commission of The People's Republic of China)Deng Fong(Institute of enveroment science of Ninbo)Yang Yunyan (Institute of economis, Zhongnan economics finance university);A CONNECTION WITH SPACIAL INTERACTION AND DIFFUSION[J];Geographical Research;1991-01
3 Yin Chuancun (Department of Mathematics,Qufu Normal University,273165,Qufu,Shandong);LIFETIME OF BROWNIAN MOTION IN A SPHERICAL SHELL[J];Journal of Qufu Normal University(Natural Science);1996-03
4 Zhang Xinsheng (Institute of Mathermatics, Shantou University, Shantou, 515063);Jiont distribution of exit times and exit points of generalized Brownian motion in special regions[J];JOURNAL OF SHANTOU UNIVERSITY(NATURAL SCIENCE EDITION);1996-02
5 Zhao Xuelei(Institute of Mathematics,Shantou University,Shantou,Guangdong,515063)Wang Zikun(Dept.of Math.,Beijing Normal University,Beijing,100875);High Order Partial Differential Equations and Probabilistic Methods[J];ADVANCES IN MATHEMATICS;1996-05
6 Xie Chaorong Xiong Tinghuang (Jingzhou Teachers College, Jingsha 434104);CHOQUET CAPACITIES OF JUMP PROCESSES[J];JOURNAL OF MATHEMATICS;1996-03
7 Liu Luqin (Department of Mathematics,Wuhan University, Wuhan, China, 430072);BALAYAGE PROBLEM AND REPRESENTATION OF ADDITIVE FUNCTIONALS FOR JUMP MARKOV PROCESSES[J];Journal of Wuhan University(Natural Science Edition);1993-03
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