Trace Operators in Besov and Triebel–Lizorkin Spaces
Trace Operators in Besov and Triebel–Lizorkin Spaces
We determine the trace of Besov spaces \mathfrak B^s_{p,q}(\mathbb R^n) and Triebel–Lizorkin spaces \mathfrak F^s_{p,q}(\mathbb R_n) – characterized via atomic decompositions – on hyperplanes \mathbb R^m , n>m \in \mathbb N , for parameters 0 < p, q \leq \infty and s > \frac{n−m}p . The limiting case s = …