Some new function spaces of variable smoothness
Functional Analysis
2015-09-02 v2
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.
Keywords
Cite
@article{arxiv.1410.8360,
title = {Some new function spaces of variable smoothness},
author = {A. I. Tyulenev},
journal= {arXiv preprint arXiv:1410.8360},
year = {2015}
}
Comments
to appear in Sbornik Mathematics 2015