Dimension gap under conformal mappings

DOI10.1016/j.aim.2012.03.018zbMath1253.30034OpenAlexW1978059905WikidataQ110124878 ScholiaQ110124878MaRDI QIDQ436243

Tomi Nieminen, Pekka Koskela, Stanislav Hencl

Publication date: 20 July 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2012.03.018

zbMATH Keywords

conformal mappingHausdorff dimensionboundary behaviour

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Hausdorff and packing measures (28A78)

Related Items (6)

Dimension gap under Sobolev mappings ⋮ On the first eigenvalues of free vibrating membranes in conformal regular domains ⋮ Spectral estimates of the \(p\)-Laplace Neumann operator in conformal regular domains ⋮ Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian ⋮ Regularity and modulus of continuity of space-filling curves ⋮ Weak regularity of degenerate elliptic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniform domains and the quasi-hyperbolic metric
• Hausdorff dimension and mean porosity
• Removability theorems for Sobolev functions and quasiconformal maps
• On functions with derivatives in a Lorentz space
• Density properties of harmonic measure
• L^p-averaging domains and the Poincaré inequality
• The Poincaré Metric of Plane Domains
• Sobolev spaces, dimension, and random series
• Exponential integrability of the quasi-hyperbolic metric on Hölder domains
• Hausdorff Dimension and Quasiconformal Mappings

This page was built for publication: Dimension gap under conformal mappings