Characterization of inclusion relations between wiener amalgam and some classical spaces

Weichao Guo, Huoxiong Wu, Guoping Zhao

Published 2016-09-17Version 1

In this paper, we establish the sharp conditions for the inclusion relations between Besov spaces $B_{p,q}$ and Wiener amalgam spaces $W_{p,q}^s$. We also consider the inclusion relations between local hardy spaces $h^p$ and Wiener amalgam spaces $W_{p,q}^s$, which essentially improve and extend the main results obtained by Cunanana, Kobayashib and Sugimotoa in [J. Funct. Anal. 268 (2015), 239-254]. In addition, we establish a mild characterization of inclusion relations between any Triebel and Wiener amalgam spaces, which relates some modern inequalities to classical inequalities.