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arXiv · 1503.04512

Besov-Type Spaces with Variable Smoothness and Integrability

Dachun Yang·Ciqiang Zhuo·Wen Yuan
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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 $\varphi$-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.

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Dachun Yang, Ciqiang Zhuo, Wen Yuan. 2015-03-16. Besov-Type Spaces with Variable Smoothness and Integrability. https://arxiv.org/abs/1503.04512

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