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On an inequality for the universal spectrum of integral means

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Publication:635596
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DOI10.1134/S0001434608070146zbMath1219.30006MaRDI QIDQ635596

Juan-Miguel Gracia

Publication date: 20 August 2011

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

conformal mappingHausdorff measureBorel setanalytic univalent functionde Branges theoremspectrum of integral meansZygmund-Szegő inequality


Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) General theory of univalent and multivalent functions of one complex variable (30C55)


Related Items (2)

On \(L^1\)-estimates of derivatives of univalent rational functions ⋮ Nevanlinna domains with large boundaries



Cites Work

  • A proof of the Bieberbach conjecture
  • Conformal mapping and Hausdorff measures
  • On coefficient problems for univalent functions and conformal dimension
  • Estimates on integral means of the derivatives of univalent functions
  • Some results connected with Brennan's conjecture
  • On certain mean values of polynomials
  • On the Makarov law of the iterated logarithm


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