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arXiv · 1609.05276

Characterization of inclusion relations between wiener amalgam and some classical spaces

Weichao Guo·Huoxiong Wu·Qixiang Yang·Guoping Zhao
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Abstract

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 obtain the optimal inclusion relations between local hardy spaces $h^p$ and Wiener amalgam spaces $W_{p,q}^s$, which completely improve and extend the main results obtained by Cunanana, Kobayashib and Sugimotoa in [J. Funct. Anal. 268 (2015), 239-254]. In addition, we establish some mild characterizations of inclusion relations between Triebel-Lizorkin and Wiener amalgam spaces, which relates some modern inequalities to classical inequalities.

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Weichao Guo, Huoxiong Wu, Qixiang Yang, Guoping Zhao. 2016-09-17. Characterization of inclusion relations between wiener amalgam and some classical spaces. https://arxiv.org/abs/1609.05276

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