A class of isoperimetric inequalities

DOI10.1007/BF02792548zbMath0634.42002MaRDI QIDQ1096833

B. George

Publication date: 1985

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

zbMATH Keywords

isoperimetric inequalitiesharmonic continuationconvex curvesadmissible functionsTitus conjectureUllman conjecture

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (11)

On harmonic Bloch-type mappings ⋮ An existence theorem for harmonic homeomorphisms with a given range and some convergence theorems ⋮ Harmonic spirallike functions and harmonic strongly starlike functions ⋮ A comparison between Neumann and Steklov eigenvalues ⋮ Weighted geometric inequalities for hypersurfaces in sub‐static manifolds ⋮ On convex surfaces with minimal moment of inertia ⋮ Singular behavior of harmonic maps near corners ⋮ Weighted Alexandrov–Fenchel inequalities in hyperbolic space and a conjecture of Ge, Wang, and Wu ⋮ Some harmonic 𝑛-slit mappings ⋮ Fourier series of circle embeddings ⋮ On a problem of the constructive theory of harmonic mappings

Cites Work

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• On an inequality of E. Heinz
• An integral inequality with applications to harmonic mappings
• Extremalfiguren für eine Klasse von isoperimetrischen Problemen
• Harmonic univalent functions

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