Conformally invariant inequalities

DOI10.1007/s10958-019-04454-zzbMath1429.35009OpenAlexW2967336066MaRDI QIDQ2331417

Farit G. Avkhadiev

Publication date: 29 October 2019

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04454-z

zbMATH Keywords

integral inequalityPoincaré metricuniformly perfect setconformally invariant integral

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Cites Work

• Hardy-Rellich inequalities in domains of the Euclidean space
• Modulus techniques in geometric function theory
• Hardy type inequalities in higher dimensions with explicit estimate of constants
• Domains with strong barrier
• Uniformly perfect sets and the Poincaré metric
• Complex dynamics
• The conformal radius as a function and its gradient image
• Related aspects of positivity in Riemannian geometry
• Integral inequalities in domains of hyperbolic type and their applications
• The exponent of convergence of Riemann surfaces. Bass Riemann surfaces
• Various domain constants related to uniform perfectness
• The Poincaré Metric of Plane Domains
• Unified Poincaré and Hardy inequalities with sharp constants for convex domains
• Schwarz-Pick Type Inequalities

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