✦ LIBER ✦

On a Schwarz Lemma for Bounded Symmetric Domains

✍ Scribed by Wilhelm Kaup

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 549 KB
Volume: 197
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19991970105

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A Schwarz Lemma for Convex Domains in Ar

A Schwarz Lemma for Convex Domains in Arbitrary Banach Spaces

✍ Luis Bernal-González 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 133 KB

In this note the following new version of the Schwarz lemma is proved: If f is a holomorphic function mapping a bounded convex domain D D of a complex Banach 1 Ž . space into a convex domain D D of another complex Banach space and f a s b, 2 then the image by f of the set of points in D D lying at a

The Growth Theorem and Schwarz Lemma on

The Growth Theorem and Schwarz Lemma on Infinite Dimensional Domains

✍ Tatsuhiro Honda 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 174 KB

Let D be a balanced convex domain in a sequentially complete locally convex space E. If f : D → E is a convex biholomorphic mapping with f (0) = 0 and df (0) = id, we have an upper bound of the growth of f . Also let D 1 , D 2 be bounded balanced pseudoconvex domains in complex normed spaces E 1 , E

Multiple Solutions to a Dirichlet Proble

Multiple Solutions to a Dirichlet Problem on Bounded Symmetric Domains

✍ Francesca Alessio; Walter Dambrosio 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 81 KB

A Suspension Lemma for Bounded Posets

✍ Jörg Rambau 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 295 KB

Let P and Q be bounded posets. In this note, a lemma is introduced that provides a set of sufficient conditions for the proper part of P being homotopy equivalent to the suspension of the proper part of Q. An application of this lemma is a unified proof of the sphericity of the higher Bruhat orders

Besov Spaces of M-harmonic Functions on

Besov Spaces of M-harmonic Functions on Bounded Symmetric Domains

✍ K. T. Hahn; E. H. Youssfi 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 473 KB 👁 1 views

## Abstract New Besov spaces of M‐harmonic functions are introduced on a bounded symmetric domain in ℂ^__n__^. Various characterizations of these spaces are given in terms of the intrinsic metrics, the Laplace‐Beltrami operator and the action of the group of the domain.

A one-parameter calculus for symmetric d

A one-parameter calculus for symmetric domains

✍ Jonathan Arazy; Harald Upmeier 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 260 KB

## Abstract We introduce a parameter dependent operator calculus on hermitian symmetric domains, interpolating the Toeplitz and Weyl calculus, and establish its basic properties including the Berezin transform for rank 1 domains. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)