Weighted multilinear Hardy operators and commutators
Weighted multilinear Hardy operators and commutators
复制标题
加权多线性 Hardy 算子和换向器
DOI：
10.1515/forum-2013-0064
复制
发表时间：
2015-09-01
影响因子：
0.8
通讯作者：
Yuan, Wen
中科院分区：
文献类型：
--
作者：
Fu, Zun Wei;Gong, Shu Li;Yuan, Wen
本文引入了一类加权多线性Hardy算子，并得到了它们在Lebesgue型空间和中心Morrey空间乘积上的精确界。此外，我们还得到了加权多线性Hardy算子的交换子在中心Morrey空间的乘积上有界的充要条件。这些结果进一步被用来证明由Riemann-Liouville和Weyl引起的一些不等式的精确估计。
In this paper, we introduce a type of weighted multilinear Hardy operators and obtain their sharp bounds on the product of Lebesgue spaces and central Morrey spaces. In addition, we obtain sufficient and necessary conditions of the weight functions so that the commutators of the weighted multilinear Hardy operators (with symbols in central BMO space) are bounded on the product of central Morrey spaces. These results are further used to prove sharp estimates of some inequalities due to Riemann-Liouville and Weyl.