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arXiv · 1607.05885

Intrinsic atomic characterization of 2-microlocal spaces with variable exponents on domains

Helena F. Gonçalves·Henning Kempka
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Abstract

We provide an intrinsic atomic characterization for 2-microlocal Besov and Triebel-Lizorkin spaces with variable integrability on domains, $B_{\p,\q}^{\bm{w}}(\Omega)$ and $F_{\p,\q}^{\bm{w}}(\Omega)$, where $\Omega$ is a regular domain. We use the already known decomposition with non-smooth atoms for the spaces $B_{\p,\q}^{\bm{w}}(\rn)$ and $F_{\p,\q}^{\bm{w}}(\rn)$ in order to get the main result.

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BibTeXRIS

Helena F. Gonçalves, Henning Kempka. 2016-07-20. Intrinsic atomic characterization of 2-microlocal spaces with variable exponents on domains. https://arxiv.org/abs/1607.05885

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