Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589782 | Journal of Functional Analysis | 2015 | 59 Pages |
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 φ-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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Dachun Yang, Ciqiang Zhuo, Wen Yuan,