多复变数双全纯映照的一些偏微分不等式

Some Partial Differential Inequalities for Holomorphic Mapppings on Bounded Balanced Domains in C~n

中文关键词:  有界平衡域  星形映照  近星映照

英文关键词:Bounded balanced domains  starlike mappings  close-to-starlike mappings.

中文摘要:

      本文在有界平衡域上建立一些与双全纯映照有关的偏微分不等式．作为应用，给出 有界平衡域上星形映照以及近似星形映照的一些充分判别条件．

英文摘要:

      In this paper , we establish some partial differential inqualities for holomorphic mappings on bounded balanced domains in Cⁿ. As its application, we obtain some sufficient conditions for starlike mappings and close-to-starlike mappings on bounded balanced domains in Cⁿ.