论文标题
混合Herz-Hardy空间及其应用的特征
Characterizations of Mixed Herz-Hardy Spaces and their Applications
论文作者
论文摘要
本文的目的是介绍和调查混合均质的Herz-Hardy空间的一些基本特性$ H \ dot {k} _ {\ vec {\ vec {p}}}^{α，q}（\ Mathbb {r}^n）$和非杂种Herz-Hardy Space $ HK _ { Q}（\ Mathbb {r}^n）$。此外，我们为$ h \ dot {k} _ {\ vec {p}}}^{α，q}（\ Mathbb {r}^n）$和$ hk _ {\ vec {\ vec {p}} $ nath an n an n an n an n an n y MATH^n and and and and，我们建立了原子和分子分解。在混合的Herz-Hardy空间上，一类宽类的均等操作员的界限。作为副产品，推导了混合均匀的Herz-Hardy空间的双重空间。
The purpose of this paper is to introduce and investigate some basic properties of mixed homogeneous Herz-Hardy spaces $H\dot{K}_{\vec{p}}^{α, q}(\mathbb{R}^n)$ and mixed non-homogeneous Herz-Hardy spaces $HK_{\vec{p}}^{α, q}(\mathbb{R}^n)$. Furthermore, we establish the atom and molecular decompositions for $H\dot{K}_{\vec{p}}^{α, q}(\mathbb{R}^n)$ and $HK_{\vec{p}}^{α, q}(\mathbb{R}^n)$, by which the boundedness for a wide class of sublinear operators on mixed Herz-Hardy spaces is obtained. As a byproduct, the dual spaces of mixed homogeneous Herz-Hardy spaces are deduced.
