论文标题
均匀的混合Herz-Morrey空间及其应用
Homogeneous mixed Herz-Morrey spaces and its Applications
论文作者
论文摘要
在本文中，我们介绍了均质混合的Herz-Morrey空间$ M \ dot {k} _ {首先，研究了均匀操作员的界限，均匀混合的HERZ-MORREY空间中的分数运算符。特别是，以上结果对于Calder $ \急性{O} $ n-Zygmund运算符和分数最大运算符仍然有效。最后，获得了同质混合Herz-Morrey空间中的换向因子的界限。
In this paper, we introduce homogeneous mixed Herz-Morrey spaces $M\dot{K}_{p,\vec{q}}^{α,λ}(\mathbb{R}^n)$ and show it's some properties. Firstly, the boundedness of sublinear operators, fractional type operators in homogeneous mixed Herz-Morrey spaces is investigated. In particular, the above results are still valid for Calder$\acute{o}$n-Zygmund operators and fractional maximal operators. Lastly, the boundedness of their commutators in homogeneous mixed Herz-Morrey spaces is obtained.
