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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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