In ℝ3 we consider the vector fields X_1 and X_2 in R^3. We prove a trace theorem for Sobolev functions on a half space. The trace is estimated by means of a suitable Besov space that is defined using the Carnot–Carathéodory metric associated with the vector fields and the related perimeter measure.
Gerosa D., Monti R., Morbidelli D. (2021). A trace theorem for Martinet-type vector fields. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 23(2), 1-28 [10.1142/S0219199719500664].
A trace theorem for Martinet-type vector fields
Morbidelli D.
2021
Abstract
In ℝ3 we consider the vector fields X_1 and X_2 in R^3. We prove a trace theorem for Sobolev functions on a half space. The trace is estimated by means of a suitable Besov space that is defined using the Carnot–Carathéodory metric associated with the vector fields and the related perimeter measure.File in questo prodotto:
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