Versions of the Schwarz lemma for domain moments and the torsional rigidity

DOI10.1134/S1995080211020028zbMath1253.30038WikidataQ124812918 ScholiaQ124812918MaRDI QIDQ694409

D. A. Abramov, D. Kh. Giniyatova, Farit G. Avkhadiev

Publication date: 12 December 2012

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Schwarz lemmaisoperimetric inequalitiestorsional rigidityconformal moment of inertiaSchwarz-Pick type inequalities

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (2)

Estimates of torsional rigidity using conformal characteristics ⋮ A note about torsional rigidity and Euclidean moment of inertia of plane domains

Cites Work

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• Mappings connected with the gradient of conformal radius
• Generalization of theorems of Szász and Ruscheweyh on exact bounds for derivatives of analytic functions
• Area, capacity and diameter versions of Schwarz’s Lemma
• Solution of the generalized Saint Venant problem
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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