The isoperimetric inequality via approximation theory and free boundary problems

DOI10.1007/BF03321614zbMath1193.30001MaRDI QIDQ879653

Catherine Bénéteau, Dmitry Khavinson

Publication date: 14 May 2007

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

isoperimetric inequalityrational approximationfree boundary problemshydrodynamicsquadrature domainsanalytic content

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Free boundary problems for PDEs (35R35) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02) Complex variables methods applied to problems in fluid mechanics (76M40)

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Analytic content and the isoperimetric inequality in higher dimensions ⋮ Approximating \overline{𝑧} in the Bergman Space ⋮ Classification of the solutions to an overdetermined elliptic problem in the plane ⋮ A Thought on Approximation by Bi-Analytic Functions ⋮ Selected topics on quadrature domains ⋮ Isoperimetric inequalities for Bergman analytic content ⋮ A sharp inequality for holomorphic functions on the polydisc ⋮ Isoperimetric inequality for the polydisk ⋮ Isoperimetric type inequalities for harmonic functions ⋮ A note on the spectral area of Toeplitz operators ⋮ A free boundary problem associated with the isoperimetric inequality ⋮ Self-commutator norm of hyponormal Toeplitz operators ⋮ Potential theory and approximation: highlights from the scientific work of Stephen Gardiner ⋮ On the concept of inner function in Hardy and Bergman spaces in multiply connected domains ⋮ Overdetermined elliptic problems in onduloid-type domains with general nonlinearities

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