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 ≥ 1 and the trace on the boundary of a class of domains in the Grushin plane.
Trace theorems for vector fields
MONTI, ROBERTO;
2002
Abstract
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 ≥ 1 and the trace on the boundary of a class of domains in the Grushin plane.
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