𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Sharpened Versions of the Schwarz Lemma

✍ Scribed by Peter R. Mercer


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
103 KB
Volume
205
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis


We prove a version of the Schwarz Lemma in which the images of two points are Ε½ . known. Two classical results due to Dieudonne and Rogosinski are simple


πŸ“œ SIMILAR VOLUMES


An application of Schwarz's lemma
✍ Dzan Jin Jee πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 194 KB
A new sharpened version of the Neuberg–P
✍ Shanhe Wu πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 183 KB

In this work, we present a new sharpened version of the classical Neuberg-Pedoe inequality. As an application, the following improved Neuberg-Pedoe inequality is derived: 2 .

An algorithmic version of the blow-up le
✍ JΓ‘nos KomlΓ³s; Gabor N. Sarkozy; Endre SzemerΓ©di πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 210 KB πŸ‘ 1 views

Recently we developed a new method in graph theory based on the regularity lemma. The method is applied to find certain spanning subgraphs in dense graphs. The other main general tool of the method, besides the regularity lemma, is the so-called blow-up Ε½ w Ε½ .x lemma Komlos, Sarkozy, and Szemeredi

The Growth Theorem and Schwarz Lemma on
✍ Tatsuhiro Honda πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 174 KB

Let D be a balanced convex domain in a sequentially complete locally convex space E. If f : D β†’ 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