Types of afforested surfaces

Kodai Mathematical Journal

Shigeo Segawa¹  Mitsuru Nakai² 

[1] Department of Mathematics Daido Institute of Technology;Department of Mathematics Nagoya Institute of Technology

关键词: essentially positive;    Green function;    Parreau decomposition;    quasibounded;    singular;    Wiener compactification;    Wiener (harmonic) boundary;   

DOI  :  10.2996/kmj/1238594549

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(7)We form, what we call, an afforested surface R over a plantation P by foresting with trees Tn (n ∈ N: the set of positive integers). If all of P and Tn (n ∈ N) belong to the class ${¥mathcal O}_s$ of hyperbolic Riemann surfaces W carrying no singular harmonic functions on W, then we will show that, under a certain diminishing condition on roots of trees Tn (n ∈ N), the afforested surface R also belongs to ${¥mathcal O}_s$.

【 授权许可】

Unknown