Inclusion relations between modulation and Triebel-Lizorkin spaces

Guo, Weichao; Wu, Huoxiong; Zhao, Guoping

doi:10.1090/proc/13614

Inclusion relations between modulation and Triebel-Lizorkin spaces
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by Weichao Guo, Huoxiong Wu and Guoping Zhao PDF

Proc. Amer. Math. Soc. 145 (2017), 4807-4820 Request permission

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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