The calculation of the \(L^2\)-norm of the index of a plane curve and related formulas

DOI10.1007/s11854-013-0019-9zbMath1279.30047OpenAlexW2034929236MaRDI QIDQ393417

Julià Cufí, Joan Josep Carmona

Publication date: 17 January 2014

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

Full work available at URL: https://doi.org/10.1007/s11854-013-0019-9

zbMATH Keywords

isoperimetric inequalities\(L^2\)-normindex function of a curve

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20)

Related Items (1)

A general form of Green’s Formula and the Cauchy Integral Theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New proofs of the isoperimetric inequality and some generalizations
• The optimal constant in Wente's \(L^\infty\) estimate
• Hausdorff measure, BMO, and analytic functions
• A generalization of the isoperimetric inequality
• Analytic capacity and measure
• The index of a plane curve and Green's formula
• Uniform Approximation by Rational Modules on Nowhere Dense Sets
• Bonnesen-Style Isoperimetric Inequalities
• The Isoperimetric Inequality and a Theorem of Hardy and Littlewood
• Uniform approximations by bianalytic functions on arbitrary compact subsets of $ \mathbb C$
• A Necessary and Sufficient Condition for Uniform Approximation by Certain Rational Modules

This page was built for publication: The calculation of the \(L^2\)-norm of the index of a plane curve and related formulas