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The trace problem for vector fields satisfying Hörmander’s condition. (English) Zbl 0924.46026
Summary: Trace theorems are proved for non-isotropic Sobolev and \(L^p\)-Lipschitz spaces defined by vector fields satisfying Hörmander’s bracket condition of order 2. It is shown that the loss of regularity by traces is the same as in the classical case.

MSC:
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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