A lower bound for the Bloch radius of 𝐾-quasiregular mappings-Reference-Cited by-同舟云学术

A lower bound for the Bloch radius of 𝐾-quasiregular mappings

Published:2004-03-25 Issue:9 Volume:132 Page:2593-2601
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Rajala Kai

Abstract

We give a quantitative proof to Eremenko’s theorem (2000), which extends Bloch’s classical theorem to the class of n n -dimensional K K -quasiregular mappings.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2004-132-09/S0002-9939-04-07405-2/S0002-9939-04-07405-2.pdf

Reference20 articles.

1. McGraw-Hill Series in Higher Mathematics;Ahlfors, Lars V.,1973

2. A. Bloch: Les théorèmes de M. Valiron sur les fonctions entières et la théorie de l’uniformisation, Ann. Fac. Sci. Toulouse, 17 (1925).

3. Covering properties of meromorphic functions, negative curvature and spherical geometry;Bonk, M.;Ann. of Math. (2),2000

4. Finite-to-one open mappings of manifolds;Černavskiĭ, A. V.;Mat. Sb. (N.S.),1964

5. Newman’s theorems on transformation groups;Dress, Andreas;Topology,1969

Cited by 14 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Heinz type inequality, Bloch type theorem and Lipschitz characteristic of polyharmonic mappings;Indagationes Mathematicae;2023-11

2. Bloch’s theorem for heat mappings;Rendiconti del Seminario Matematico della Università di Padova;2022-05-31

3. On the Fixed Point Method and Bloch’s Theorem;Michigan Mathematical Journal;2021-01-01

4. A Newman property for BLD-mappings;Conformal Geometry and Dynamics of the American Mathematical Society;2019-07-09

5. Final Comments;Lectures on Mappings of Finite Distortion;2013-11-20