Sharp embedding relations between Local Hardy and $\alpha$-Modulation   Spaces
  We give the optimal embedding relations between local Hardy space and $\alpha$-modulation spaces, which extend the results for the embedding relations between local Hardy and modulation spaces obtained by Kobayashi, Miyachi and Tomita in [Studia Math. 192 (2009), 79-96]. 
Guoping Zhao, Guilian Gao, Weichao Guo
math.CA