MONTEL TYPE THEOREM FOR CR MAPPINGS BETWEEN PSEUDO-HERMITIAN CR MANIFOLDS

被引：0

作者：

Lee, Hanjin ^{[1
]}

机构：

[1] Handong Global Univ, Global Leadership Sch, Pohang 37554, South Korea

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2024年 / 61卷 / 05期

关键词：

Normal family; pseudo-hermitian manifolds; CR maps; NORMAL-FAMILIES;

D O I：

10.4134/BKMS.b230540

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Montel type theorem for CR mappings between strongly pseudoconvex psuedo-Hermitian CR manifolds satisfying curvature bound conditions is proved. Pre-compactness relies on recently introduced Schwarz lemma for CR mappings between pseudo-Hermitian manifolds. Smoothness of the limit CR map is proved using CR and holomorphic extensions of CR functions to higher dimensional q-concave CR manifolds.

引用

页码：1289 / 1299

页数：11

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