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Trace and trace lifting theorems in weighted Sobolev spaces. (English) Zbl 1089.35016
Summary: We prove in this work the trace and trace lifting theorems for the Sobolev spaces associated with a system of Hörmander’s vectors fields of order 2. The case of nondegenerate characteristic points for left invariant vector fields on the Heisenberg group is also studied.

MSC:
35H10 Hypoelliptic equations
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
47G30 Pseudodifferential operators
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