Analysis on harmonic maps on metric measure spaces by Dirichlet forms

本文利用马尔可夫过程和狄利克雷型理论，研究了几何奇异空间。特别地，对调和映射和（次）调和函数的分析是本文的主要研究内容.本研究的部分结果推广了日本科学振兴会科学研究补助金（C）No.16540201的研究成果。我们也得到了一些关于马尔可夫过程作为副产品的理论结果。

In view of the theory of Markov processes and Dirichlet forms, we investigate geometric singular spaces. In particular, analysis on harmonic maps and (sub-) harmonic functions is the main aim of this research. Some of our results extend the previous results of the research supported by Grant-in-Aid for Scientific Research (C) No.16540201 from Japan Society for the Promotion of Science. We also obtain some results on the theory of Markov processes as a byproduct.