Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces

DOI10.1090/memo/0857zbMath1100.43005OpenAlexW2051900808MaRDI QIDQ5476861

Donatella Danielli, Nicola Garofalo, Duy-Minh Nhieu

Publication date: 18 July 2006

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

Full work available at URL: https://semanticscholar.org/paper/324845a2cda7656955767360b44b68769d18979a

zbMATH Keywords

Sobolev spaceBesov spaceCarnot groupCarnot-Carathéodory spaceperimeter measuretrace and extension theoremAhlfors measure

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic analysis on homogeneous spaces (43A85) General theory of PDEs and systems of PDEs with constant coefficients (35E20)

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