A generalized Schwarz lemma for two domains related to μ-synthesis

IF 0.5 Q3 MATHEMATICS

Complex Manifolds Pub Date : 2017-08-02 DOI:10.1515/coma-2018-0001

S. Pal, Samriddho Roy

引用次数: 7

Abstract

Abstract We present a set of necessary and sufficient conditions that provides a Schwarz lemma for the tetrablock E. As an application of this result, we obtain a Schwarz lemma for the symmetrized bidisc G2. In either case, our results generalize all previous results in this direction for E and G2.

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有关μ-合成的两个域的广义Schwarz引理

摘要我们给出了一组为四嵌段E提供Schwarz引理的充要条件。作为这一结果的应用，我们得到了对称双嵌段G2的Schwarz定理。在任何一种情况下，我们的结果都推广了E和G2在这个方向上的所有先前结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Complex Manifolds MATHEMATICS-

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

25 weeks

期刊介绍： Complex Manifolds is devoted to the publication of results on these and related topics: Hermitian geometry, Kähler and hyperkähler geometry Calabi-Yau metrics, PDE''s on complex manifolds Generalized complex geometry Deformations of complex structures Twistor theory Geometric flows on complex manifolds Almost complex geometry Quaternionic geometry Geometric theory of analytic functions Holomorphic dynamics Several complex variables Dolbeault cohomology CR geometry.