Some results on function spaces of varying smoothness
Volume 79 / 2008
Banach Center Publications 79 (2008), 187-195
MSC: Primary 46E35; Secondary 42B35.
DOI: 10.4064/bc79-0-15
Abstract
This paper deals with function spaces of varying smoothness $B^{\mathbb{S},s_0}_p(\mathbb{R}^n)$, where the function $\mathbb{S}:x\mapsto s(x)$ determines the smoothness pointwise. Those spaces were defined in \cite{Disse} and treated also in \cite{Scn05}. Here we prove results about interpolation, trace properties and present a characterization of these spaces based on differences.
