INCLUSION RELATIONS BETWEEN MODULATION AND TRIEBEL-LIZORKIN SPACES.

In this paper, we obtain the sharp conditions of the inclusion relations between modulation spaces Ms p,q and Triebel-Lizorkin spaces Fp,r for p ≤ 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]. [ABSTRACT FROM AUTHOR]