Remarks on potential spaces and Besov spaces in a Lipschitz domain and on Whitney arrays on its boundary

In this note, we propose to remove some small gaps in the theory of potential spaces H-p(s)(Omega) and Besov spaces B-p(s)(Omega), 1 < p < infinity, s epsilon R, for a bounded Lipschitz domain Omega subset of R-n, n >= 2. Namely, we discuss 1) the unified definitions of these spaces with s of any sign, the unified duality theorems and interpolation relations, 2) the possibility of constructing a function in these spaces with given array of traces of its derivatives on the boundary.