Non-smooth atomic decompositions, traces on Lipschitz domains, and pointwise multipliers in function spaces

Cornelia Schneider, Jan Vybíral

We provide non-smooth atomic decompositions for Besov spaces $\Bd(\rn)$, $s>0$, $0<p,q\le \infty$, defined via differences. The results are used to compute the trace of Besov spac…