Besov-Type Spaces with Variable Smoothness and Integrability
Classical Analysis and ODEs
2015-03-17 v1 Functional Analysis
Abstract
In this article, the authors introduce Besov-type spaces with variable smoothness and integrability. The authors then establish their characterizations, respectively, in terms of -transforms in the sense of Frazier and Jawerth, smooth atoms or Peetre maximal functions, as well as a Sobolev-type embedding. As an application of their atomic characterization, the authors obtain a trace theorem of these variable Besov-type spaces.
Cite
@article{arxiv.1503.04512,
title = {Besov-Type Spaces with Variable Smoothness and Integrability},
author = {Dachun Yang and Ciqiang Zhuo and Wen Yuan},
journal= {arXiv preprint arXiv:1503.04512},
year = {2015}
}
Comments
45 pages; the first version of this paper was finished in December 21, 2014