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arXiv · 1609.05278

Inclusion relations between Modulation and Triebel-Lizorkin spaces

Weichao Guo·Huoxiong Wu·Guoping Zhao
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Abstract

In this paper, we obtain the sharp conditions of the inclusion relations between modulation spaces $M_{p,q}^s$ and Triebel-Lizorkin spaces $F_{p,r}$ for $p\leq 1$, which greatly improve and extend the results for the embedding relations between local Hardy spaces and modulation spaces obtained by Kobayashi, Miyachi and Tomita in [Studia Math. 192 (2009), 79-96].

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Weichao Guo, Huoxiong Wu, Guoping Zhao. 2016-09-17. Inclusion relations between Modulation and Triebel-Lizorkin spaces. https://arxiv.org/abs/1609.05278

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