Boundary continuity of complete proper holomorphic maps

被引:2
作者
Globevnik, Josip [1 ]
机构
[1] Inst Math Phys & Mech, Ljubljana, Slovenia
关键词
Complete holomorphic maps;
D O I
10.1016/j.jmaa.2014.11.016
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show that there is no complete proper holomorphic map from the disc Delta to the bidisc Delta(2) which extends continuously through (Delta) over bar. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:824 / 825
页数:2
相关论文
共 6 条
[1]  
Alarcón A, 2013, MATH ANN, V355, P429, DOI 10.1007/s00208-012-0790-4
[2]   Every bordered Riemann surface is a complete proper curve in a ball [J].
Alarcon, Antonio ;
Forstneric, Franc .
MATHEMATISCHE ANNALEN, 2013, 357 (03) :1049-1070
[3]   ON THE RADIAL VARIATION OF BOUNDED ANALYTIC-FUNCTIONS ON THE DISC [J].
BOURGAIN, J .
DUKE MATHEMATICAL JOURNAL, 1993, 69 (03) :671-682
[4]  
JONES PW, 1979, P AM MATH SOC, V76, P305, DOI 10.2307/2043009
[5]  
Rudin W., 1987, REAL COMPLEX ANAL
[6]  
Yang P., 1977, P S PURE MATH, VXXX, P135