Traces of Besov spaces revisited.
Elliptic Boundary Problems and the Boutet de Monvel Calculus in Besov and Triebel-Lizorkin Spaces.
Regularity properties of semilinear boundary problems in Besov and Triebel-Lizorkin spaces
Traces of anisotropic Besov-Lizorkin-Triebel spaces---a complete treatment of the borderline cases
Including the previously untreated borderline cases, the trace spaces (in the distributional sense) of the Besov-Lizorkin-Triebel spaces are determined for the anisotropic (or quasi-homogeneous) version of these classes. The ranges of the traces are in all cases shown to be approximation spaces, and these are shown to be different from the usual spaces precisely in the cases previously untreated. To analyse the new spaces, we carry over some real interpolation results as well as the refined Sobolev...
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