VERSIONS OF KOEBE 1/4 THEOREM FOR ANALYTIC AND QUASIREGULAR HARMONIC FUNCTIONS AND APPLICATIONS

被引：4

作者：

Mateljevic, Miodrag ^{[1
]}

机构：

[1] Matemat Fac, Belgrade, Serbia

来源：

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD | 2008年 / 84卷 / 98期

关键词：

D O I：

10.2298/PIM0898061M

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we mainly survey results obtained in [MM3]. For example, we give an elementary proof of two versions of Koebe 1/ 4 theoremfor analytic functions (see Theorem 1.2 and Theorem 1.4 below). We also show a version of the Koebe theorem for quasiregular harmonic functions. As an application, we show that holomorphic functions (more generally quasiregular harmonic functions) and their modulus have similar behavior in a certain sense.

引用

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页码：61 / 72

页数：12

共 40 条

[21] THE CLOSURE OF THE TRANSLATIONS OF SETS OF FUNCTIONS OF L1, AND CERTAIN APPLICATIONS TO HARMONIC FUNCTIONS
ALLEN, AC
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 58 (04) : 453 - 453
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BENNATAN, Y
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[28] Many-Sheeted Versions of the Pólya–Bernstein and Borel Theorems for Entire Functions of Order ρ ≠ 1 and Their Applications
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[29] FACTORIZATION OF ANALYTIC-FUNCTIONS WITH VALUES IN NON-COMMUTATIVE L1-SPACES AND APPLICATIONS
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PISIER, G
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1989, 41 (05): : 882 - 906
[30] CAUCHY FORMULAS FOR FUNCTIONS ANALYTIC OF ORDER-2 ON C-1 DOMAINS WITH APPLICATIONS TO ELASTOSTATICS AND HYDROSTATICS
COHEN, J
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1989, 20 (01) : 98 - 105

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