Isoperimetric inequalities for conformal moments of plane domains

<p/> <p>We prove a new sharp inequality for norms in weighted Bergman space. This inequality is then used to derive isoperimetric inequalities for geometric functionals which are closely related to the torsional rigidity of a simply connected domain (F. G. Avkhadiev, Sbornik: Mathematics...

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Bibliographic Details
Main Authors: Avkhadiev FG, Salahudinov RG
Format: Article
Language:English
Published: SpringerOpen 2002-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://www.journalofinequalitiesandapplications.com/content/7/567847