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arXiv · 1705.00796

Complex interpolation of smoothness Triebel-Lizorkin-Morrey spaces

D. I. Hakim·T. Nogayama·Y. Sawano
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Abstract

This paper extends the result in \cite{HNS15} to Triebel-Lizorkin-Morrey spaces which contains $4$ parameters $p,q,r,s$. This paper reinforces our earlier paper \cite{HNS15} by Nakamura, the first and the third authors in two different directions. First, we include the smoothness parameter $s$ and the second smoothness parameter $r$. In \cite{HNS15} we assumed $s=0$ and $r=2$. Here we relax the conditions on $s$ and $r$ to $s \in {\mathbb R}$ and $1 < r \le \infty$. Second, we apply a formula obtained by Bergh in 1978 to prove our main theorem without using the underlying sequence spaces.

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BibTeXRIS

D. I. Hakim, T. Nogayama, Y. Sawano. 2017-05-02. Complex interpolation of smoothness Triebel-Lizorkin-Morrey spaces. https://arxiv.org/abs/1705.00796

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