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O. Martio, J. Sarvas (1979)
Injectivity theorems in plane and space, 4
S. Berhanu, I. Pesenson (1999)
The trace problem for vector fields satisfying Hörmander's conditionMathematische Zeitschrift, 231
P. Hajłasz, O. Martio (1997)
Traces of Sobolev Functions on Fractal Type Sets and Characterization of Extension DomainsJournal of Functional Analysis, 143
E. Gagliardo (1957)
Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in $n$ variabiliRendiconti del Seminario Matematico della Università di Padova, 27
N. Garofalo, D. Nhieu (1998)
Lipschitz continuity, global smooth approximations and extension theorems for Sobolev functions in Carnot-Carathéodory spacesJournal d’Analyse Mathématique, 74
D. Danielli, N. Garofalo, D. Nhieu (1998)
Trace inequalities for Carnot-Carathéodory spaces and applicationsAnnali Della Scuola Normale Superiore Di Pisa-classe Di Scienze, 27
B. Franchi (1986)
Trace Theorems for Anisotropic Weighted SOBOLEV Spaces in a CornerMathematische Nachrichten, 127
A. Nagel, E. Stein, S. Wainger (1985)
Balls and metrics defined by vector fields I: Basic propertiesActa Mathematica, 155
Peter Jones (1981)
Quasiconformal mappings and extendability of functions in sobolev spacesActa Mathematica, 147
Daniele Morbidelli (2000)
Fractional Sobolev norms and structure of Carnot-Carathéodory balls for Hörmander vector fieldsStudia Mathematica, 139
R. Monti, F. Cassano (2001)
Surface measures in Carnot-Carathéodory spacesCalculus of Variations and Partial Differential Equations, 13
B. Franchi, R. Wheeden (1999)
Some remarks about Poincaré type inequalities and representation formulas in metric spaces of homogeneous type.Journal of Inequalities and Applications, 1999
In the setting of Carnot-Carathéodory spaces we prove some trace theorems for Sobolev functions. We consider the trace on a non characteristic surface for Hörmander vector fields of step $r\ge 1$ and the trace on the boundary of a class of domains in the Grushin plane.
Mathematische Zeitschrift – Springer Journals
Published: Apr 1, 2002
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