The Hölder continuities of the maps in \(W^{1,p}(\Omega,\mathbb H^{n})\).

DOI10.1016/S0096-3003(03)00157-7zbMath1042.46017OpenAlexW1877263118MaRDI QIDQ1427884

Gao Jia, Xiao-Ping Yang, Cao, Jinde

Publication date: 14 March 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00157-7

zbMATH Keywords

Sobolev spaceHeisenberg groupHölder continuityCampanato type estimateMorrey type estimate

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of vector- and operator-valued functions (46E40) Analysis on real and complex Lie groups (22E30)

Cites Work

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• Hörmander multipliers on the Heisenberg group
• Weakly Differentiable Functions
• Geometric measure of singular sets of elliptic equations
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
• Legendrian energy minimizers. I: Heisenberg group target

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