Some new function spaces of variable smoothness
arXiv:1410.8360 · doi:10.1070/SM2015v206n06ABEH004481
Abstract
The present paper is concerned with new Besov-type space of variable smoothness. Nonlinear spline-approximation approach is used to give atomic decomposition of such space. Characterization of the trace space on hyperplane is also obtained.
to appear in Sbornik Mathematics 2015