Dimension estimate for the two-sided points of planar Sobolev extension domains

DOI10.1090/proc/16362zbMath1527.46026arXiv2106.12376OpenAlexW3175025519MaRDI QIDQ6106046

Jyrki Takanen

Publication date: 27 June 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.12376

zbMATH Keywords

Hausdorff dimensionSobolev extension domain

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Length, area, volume, other geometric measure theory (28A75) Implicit function theorems, Jacobians, transformations with several variables (26B10)

Related Items (1)

A necessary condition for Sobolev extension domains in higher dimensions

Cites Work

• Quasiconformal mappings and extendability of functions in Sobolev spaces
• John disks
• Extension of smooth functions from finitely connected planar domains
• On Sobolev extension domains in \(\mathbb R^n\)
• Interpolation theory for Sobolev functions with partially vanishing trace on irregular open sets
• Sobolev embeddings, extensions and measure density condition
• Dimension estimates for the boundary of planar Sobolev extension domains
• Sobolev extension property for tree-shaped domains with self-contacting fractal boundary
• Elliptic and parabolic regularity for second- order divergence operators with mixed boundary conditions
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