Decomposition of extremal length and a proof of Shen's conjecture on QED constant and boundary dilatation

DOI10.1007/S00209-014-1353-ZzbMath1325.30020OpenAlexW2089610440WikidataQ122981724 ScholiaQ122981724MaRDI QIDQ484376

Tao Cheng, Shanshuang Yang

Publication date: 7 January 2015

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-014-1353-z

zbMATH Keywords

boundary dilatationQED constantquasiconformal reflection constant

Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Quasiconformal mappings in the complex plane (30C62)

Related Items (2)

Extremal length decomposition and domain constants for finitely connected domains ⋮ Extremal function for capacity and estimates of QED constants in \(\mathbb{R}^n\)

Cites Work

• Quasiextremal distance domains and extension of quasiconformal mappings
• A modulus inequality for condensers and conformal invariants of smooth Jordan domains
• Extremal distance and quasiconformal reflection constants of domains in \(\mathbb{R}^ N\)
• Quasiextremal distance domains and integrability of derivatives of conformal mappings
• Conformal invariants of QED domains
• Quadrilaterals and extremal quasiconformal extensions
• Dilatations and exponents of quasisymmetric homeomorphisms
• Various constants associated with quasidisks and quasisymmetric homeomorphisms
• QED Domains and Ned Sets in &   8477; n
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