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Beyond Moser's Conjecture on Grunsky Inequalities
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Samuel Krushkal
Veröffentlicht/Copyright:
1. September 2005
Abstract
We prove a weakened version of a conjecture concerning the relation between the Grunsky constant and the Teichmller norm of extensions of univalent functions.
Key words and phrases:: Quasiconformal extension; univalent function; Grunsky coefficient inequalities; asymptotically conformal curve; universal Teichmller space; subharmonic Finsler metrics; Fredholm eigenvalues; Minda's maximum principle
Received: 2005-05-17
Published Online: 2005-September
Published in Print: 2005-September
Heldermann Verlag
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Schlagwörter für diesen Artikel
Quasiconformal extension;
univalent function;
Grunsky coefficient inequalities;
asymptotically conformal curve;
universal Teichmller space;
subharmonic Finsler metrics;
Fredholm eigenvalues;
Minda's maximum principle
Artikel in diesem Heft
- Interval Oscillation Criteria of Matrix Differential Systems with Damping
- On a Normal of the Distribution of Hyperplane Elements in an Affine Space
- Admissible Diagrams for 𝐺(𝑚, 1, 𝑛)
- Monotonicity and the Asymptotic Estimate of Bleimann Butzer and Hahn Operators Based on Q-Integers
- On Weakly Primary Ideals
- Hardy's Inequality in a Variable Exponent Sobolev Space
- Deciding Linear Disjointness of Finitely Generated Differential Fields
- The Algebraic Sum of Two Absolutely Negligible Sets Can be an Absolutely Nonmeasurable Set
- On Linear Conjugation Problems with a Doubly Periodic Jump Line (The Case Of Open Arcs)
- On the Uniqueness Property for Invariant Measures
- Beyond Moser's Conjecture on Grunsky Inequalities
- Set-Theoretic Properties of Schmidt's Ideal
- Composition Operators on 𝑄𝑝 Spaces
- On 𝑚𝑠𝑘-Images of Metric Spaces
- On Nonnegative Solutions of Initial Value Problems for Second Order Linear Functional Differential Equations
- A Note on Fourier Coefficients of Functions of Generalized Wiener Class
- Periodic Solutions of Higher Order Nonlinear Difference Equations Via a Continuation Theorem
- On a Singular Direction of a Meromorphic Function
- Extension of Multiresolution Analysis and the Construction of Orthogonal Multiwavelets
- On YJ-Injectivity and Annihilators