Product of extension domains is still an extension domain

DOI10.1512/iumj.2020.69.8366zbMath1453.46031arXiv1809.07071OpenAlexW3008377980MaRDI QIDQ5109034

Zheng Zhu, Pekka Koskela

Publication date: 7 May 2020

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.07071

zbMATH Keywords

productSobolev extension

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (2)

Two-sided boundary points of Sobolev extension domains on Euclidean spaces ⋮ The volume of the boundary of a Sobolev \((p,q)\)-extension domain

Cites Work

• Lectures on mappings of finite distortion
• On extensions of Sobolev functions defined on regular subsets of metric measure spaces
• Measure density and extendability of Sobolev functions
• Extensions and imbeddings
• Functions differentiable on the boundaries of regions
• On Sobolev extension domains in \(\mathbb R^n\)
• Sobolev embeddings, extensions and measure density condition
• Weakly Differentiable Functions
• Local approximations and intrinsic characterization of spaces of smooth functions on regular subsets of ℝⁿ
• A MULTIDIMENSIONAL ANALOG OF A THEOREM OF WHITNEY
• Estimates for singular integral operators in terms of maximal functions
• APPROXIMATION OF FUNCTIONS OFnVARIABLES BY QUASIPOLYNOMIALS
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