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math.AP2025
Function spaces and trace theorems for maximally subelliptic boundary value problems
Brian Street
We introduce Besov and Triebel--Lizorkin spaces on a manifold with boundary adapted to Hörmander vector fields, near a so-called non-characteristic point of the boundary. We prove…
math.CA2025
Carnot-Carathéodory Balls on Manifolds with Boundary
Brian Street
Nagel, Stein, and Wainger introduced a detailed quantitative study of Carnot--Carathéodory balls on a smooth manifold without boundary. Most importantly, they introduced scaling ma…