Besov-Type Spaces with Variable Smoothness and Integrability

By Dachun Yang, Ciqiang Zhuo, Wen Yuan. 2015

101 citations recorded by the source corpus.

In this article, the authors introduce Besov-type spaces with variable smoothness and integrability. The authors then establish their characterizations, respectively, in terms of $\varphi$-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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9091a19aeff1e11bfdf893510d71bbc457e32bb2

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In Applied Mathematics

1. Dachun Yang
2. Wen Yuan
3. Jun Liu
4. Ciqiang Zhuo
5. Xianjie Yan
6. Yoshihiro Sawano
7. Yangyang Zhang
8. Songbai Wang

In Mathematical Physics

1. Dachun Yang
2. Wen Yuan
3. Jun Liu
4. Ciqiang Zhuo
5. Xianjie Yan
6. Yoshihiro Sawano
7. Yangyang Zhang
8. Long Huang

Citations in the corpus

• Variable weak Hardy spaces and their applications (2016, background): “On the other hand, based on the variable Lebesgue space, several variable function spaces are developed rapidly in recent years (see, for example, [3, 4, 12, 14, 32, 41, 44, 45]).”
• Anisotropic Variable Hardy-Lorentz Spaces and Their Real Interpolation (2017, background): “For more developments of function spaces with variable exponents, we refer the reader to [6, 26, 44, 57, 58, 75, 76, 77, 78, 82] and their references.”