Characterization of inclusion relations between Wiener amalgam and some classical spaces
Characterization of inclusion relations between Wiener amalgam and some classical spaces
复制标题
维纳汞齐与一些经典空间之间包含关系的表征
DOI：
10.1016/j.jfa.2017.04.004
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发表时间：
2017
影响因子：
1.7
通讯作者：
Guoping Zhao
中科院分区：
文献类型：
--
作者：
Weichao Guo;Huoxiong Wu;Qixiang Yang;Guoping Zhao
本文建立了Besov空间Bp,q与维纳汞齐空间Wsp,q之间包含关系的尖锐条件。我们还得到了局部 Hardy 空间 hp 和 Wiener 汞齐空间 Wsp,q 之间的最优包含关系，这完全改进和扩展了 Cunanana、Kobayashib 和 Sugimotoa 在[3]中获得的主要结果。此外，我们还建立了 Triebel-Lizorkin 和 Wiener 汞齐空间之间包含关系的一些温和特征，它将一些现代不等式与经典不等式联系起来。
In this paper, we establish the sharp conditions for the inclusion relations between Besov spaces Bp,qand Wiener amalgam spaces Wsp,q. We also obtain the optimal inclusion relations between local hardy spaces hpand Wiener amalgam spaces Wsp,q, which completely improve and extend the main results obtained by Cunanana, Kobayashib and Sugimotoa in [3]. 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.