首页出版说明中文期刊中文图书环宇英文官网付款页面

B2到B7的一类逆紧全纯单项式

丁 思敏

摘要


本文根据已有的B2到B4单项式逆紧映照等价类, 利用张量积构造新的高维逆紧全纯映照的显式表达式, 并应用逆紧全纯映照的定义对其进行验证.

关键词


逆紧; 单项式; 张量积

全文:

PDF


参考


[1] J. Faran. The linearity of proper holomorphic maps betweenballs in the low codimension case [J]. J.Diff.Geom.,1986,24(01):15-17.

[2] F. Forstneric. Proper holomorphic maps from balls [J]. DukeMath. 1986,53(2): 427-441.

[3]X. Huang and S. Ji. Mapping Bn into B2n-1[J].iInvent.Math.,2001,145(2):219-250 .

[4]S. Ji and W. Yin, Upper boundary points of the gap intervalsfor rational maps between balls[J]. the Asian Journal of Math.,2018,22 (3):493-506.

[5]史济怀.多复变函数论基础[M]. 北京:高等教育出版社,2014.

[6]J. Faran. Maps from the two ball to the three ball [J]. Invent.Math., 1982,68(03): 441-475.

[7]J.P.D’Angelo.Proper holomorphic mappings between ballsof different dimensions[J]. Mich.Math.J., 1988,35:83-90.

[8]J.P. D’Angelo. Several complex variables and the geometryof real hypersurfaces [M]. CRCPress: FL, 1993.

[9]J.P. D’Angelo. Proper holomorphic mappings between ballsof different dimensions[J]. Mich.Math.J., 1988,35:83-90.

[10]Rudin.W. Function theory in the unit ball of Cn [M].Springer,1980.

[11]涂振汉.多元复分析[M].北京:科学出版社,2014.

[12]S.JiandW.Yin,Upper boundary points of the gap intervalsfor rational maps betweenballs[J].theAsianJournalofMath.,2018,22(3):493-506.




DOI: http://dx.doi.org/10.12361/2661-4960-04-06-98988

Refbacks

  • 当前没有refback。