Morrey-Sobolev extension domains

DOI10.1007/s12220-016-9724-9zbMath1371.42028OpenAlexW2464665848WikidataQ109744298 ScholiaQ109744298MaRDI QIDQ2012958

Yi Ru-Ya Zhang, Yuan Zhou, Pekka Koskela

Publication date: 3 August 2017

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-016-9724-9

zbMATH Keywords

extensionuniform domainLLCMorrey-Sobolev space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35)

Related Items (9)

Locally \(C^{1,1}\) convex extensions of \(1\)-jets ⋮ Adams’ trace principle in Morrey–Lorentz spaces on β-Hausdorff dimensional surfaces ⋮ A global second-order Sobolev regularity for \(p\)-Laplacian type equations with variable coefficients in bounded domains ⋮ Fractional Orlicz-Sobolev extension/imbedding on Ahlfors \(n\)-regular domains ⋮ Locally uniform domains and extension of bmo functions ⋮ REMARKS ON SOBOLEV-MORREY-CAMPANATO SPACES DEFINED ON C_{0;\gamma} DOMAINS ⋮ A decomposition for plane domains with the quasihyperbolic metric ⋮ \(C^{1, \omega }\) extension formulas for $1$-jets on Hilbert spaces ⋮ Orlicz–Besov Extension and Imbedding

Cites Work

• Quasiextremal distance domains and extension of quasiconformal mappings
• Approximation of space mappings with bounded distortion by similarities
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• Extensions and imbeddings
• Uniform, Sobolev extension and quasiconformal circle domains
• On Sobolev extension domains in \(\mathbb R^n\)
• Sobolev embeddings, extensions and measure density condition
• A Jordan Sobolev extension domain
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