4 problems

Let $PW^p$ denote the Paley–Wiener space in exponent $p$, and let Theorem denote the trace theorem stated earlier in the paper. Trace-theorem extension conjecture. Theorem extends…

Let $M$ be a smooth, compact manifold without boundary with $\dim M=m$, and let $\mathcal E^{s'}(M,\mathbb R^d)$ be the space of $H^{s'}$-embeddings. For $s>d/2$, set … The trace o…

Let $G$ be the spatial domain, $S$ the angular domain, and $I$ the energy interval. Define … and let ${\mathcal H}_P(G\times S\times I^\circ)$ be the Hilbert space of functions in…

Let $D=d+d'$ and let $B^{s}_{p,q}(\mathbb{R}^D)$ be the Besov space under the hypotheses on $p,q,s$ of Theorem. For a $d$-dimensional subspace $\mathcal{H}$ of $\mathbb{R}^D$, writ…