Inradius and integral means for Green’s functions and conformal mappings

DOI10.1090/S0002-9939-98-04217-8zbMath0899.30011OpenAlexW1549674494MaRDI QIDQ4383031

Elizabeth Ann Housworth, Rodrigo Bañuelos, Tom Carroll

Publication date: 24 March 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04217-8

zbMATH Keywords

Green's functionshyperbolic metricintegral meanssymmetric decreasing rearrangementsBaernstein star functions

Mathematics Subject Classification ID

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

Related Items (1)

Brascamp-Lieb-Luttinger inequalities for convex domains of finite inradius

Cites Work

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• Lower bounds for the hyperbolic metric in convex regions
• Maximum principles and their applications
• Brownian motion and the fundamental frequency of a drum
• An isoperimetric-type inequality for integrals of Green's functions
• Some inequalities for BMOA functions
• Inequalities for the integral means of BMOA functions

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