Chun-Lei CaoInstitute of Mathematics Academy of Mathematics and System Sciences, Chinese Academy of SciencesYue-Fei WangInstitute of Mathematics Academy of Mathematics and System Sciences, Chinese Academy of Sciences
Completely invariant components of the Fatou sets of meromorphic maps are discussed. Positive answers are given to Baker’s and Bergweiler’s problems that such components are the only Fatou components for certain classes of meromorphic maps.
Kaneko H. Recurrence and Transience Criteria for Symmetric Hunt Processes[J]. Potential Analysis, 2000.
2
Chen Z, Durrett R, Ma G L, et al. HOLOMORPHIC DIFFUSIONS AND BOUNDARY BEHAVIOR OF HARMONIC FUNCTIONS[J]. Annals of Probability, 1997, 25(3): 1103-1134.
3
Atsuji A. PARABOLICITY, THE DIVERGENCE THEOREM FOR $\\\\delta$-SUBHARMONIC FUNCTIONS AND APPLICATIONS TO THE LIOUVILLE THEOREMS FOR HARMONIC MAPS[J]. Tohoku Mathematical Journal, 2005, 57(3): 353-373.
4
Gabriel V. Dirichlet-like space and capacity in complex analysis in several variables[J]. Journal of Functional Analysis, 2007, 252(1): 247-277.
5
Kaneko H. A stochastic approach to a Liouville property for plurisubharmonic functions[J]. Journal of The Mathematical Society of Japan, 1989, 41(2): 291-299.
6
Hiroshi Kaneko · Setsuo Taniguchi. A stochastic approach to the Šilov boundary. 1987.
7
厚地 淳. ブラウン運動と調和写像・正則写像の値分布論. 2002.
8
金子 宏. 多重劣調和関数と複素多様体上の正則拡散過程. 1989.
9
Makoto Suzuki. The singular Dirichlet problem for the complex Monge-Ampère operator on complex manifolds. 1989.