Sharp bounds for Hardy type operators on higher-dimensional product spaces
Sharp bounds for Hardy type operators on higher-dimensional product spaces
复制标题
高维乘积空间上 Hardy 型算子的锐界
DOI：
10.1186/1029-242x-2013-148
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发表时间：
2013-01-01
影响因子：
1.6
通讯作者：
Zhao, Fayou
中科院分区：
文献类型：
--
作者：
Lu, Shanzhen;Yan, Dunyan;Zhao, Fayou
讨论了在高维积空间上定义的一类新的Hardy型算子。它包括两种不同的经典哈代算符。此外，我们还考虑分数阶Hardy算子h -。算符h从L-p到L-q的界被显式地计算出来。特别是，算符h从L-1到L-n/n， l -∞的界是很明显的。
A new class of Hardy type operator defined on a higher-dimensional product space is discussed. It includes two different kinds of the classical Hardy operators. In addition, we also consider the fractional Hardy operator H-beta. The bound of operator H-beta from L-p to L-q is explicitly worked out. Especially, the bound of operator H-beta from L-1 to L-n/n-beta,L-infinity is sharp.