On \(L^1\)-estimates of derivatives of univalent rational functions

DOI10.1007/s11854-017-0010-yzbMath1395.30022arXiv1312.3312OpenAlexW2963972761MaRDI QIDQ2408401

Konstantin Yu. Fedorovskiy, Anton D. Baranov

Publication date: 12 October 2017

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3312

zbMATH Keywords

univalent functionrational functionintegral means spectrumNevanlinna domain

Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, other methods (30C75) General theory of univalent and multivalent functions of one complex variable (30C55) Function theory on the disc (30J99)

Related Items (2)

Integral estimates of derivatives of rational functions in Hölder domains ⋮ Nevanlinna domains with large boundaries

Cites Work

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• On an inequality for the universal spectrum of integral means
• An estimate of the universal means spectrum of conformal mappings
• Boundary properties of Green functions in the plane
• Mergelyan's approximation theorem for rational modules
• Some exact integral estimates of the derivative of rational and algebraic functions. Applications
• On a conjecture by LeVeque and Trefethen related to the Kreiss matrix theorem
• On coefficient problems for univalent functions and conformal dimension
• Annihilators of rational modules
• Uniform \(n\)-analytic polynomial approximations of functions on rectifiable contours in \(\mathbb{C}\)
• Weighted Bergman spaces and the integral means spectrum of conformal mappings
• On some properties and examples of Nevanlinna domains
• Example of a nonrectifiable Nevanlinna contour
• Boundary regularity of Nevanlinna domains and univalent functions in model subspaces
• Sublinear dimension growth in the Kreiss Matrix Theorem
• On the universal integral means spectrum of conformal mappings near the origin
• Uniform Approximation by Rational Modules on Nowhere Dense Sets
• Conditions for $ C^m$-approximability of functions by solutions of elliptic equations

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