Maximal function characterizations of Hardy spaces associated with Schrodinger operators on nilpotent Lie groups
Maximal function characterizations of Hardy spaces associated with Schrodinger operators on nilpotent Lie groups
复制标题
幂零李群上与薛定谔算子相关的 Hardy 空间的最大函数表征
DOI：
10.1007/s13163-010-0041-8
复制
发表时间：
2011-04-01
影响因子：
0.8
通讯作者：
Yang, Dachun
中科院分区：
文献类型：
--
作者：
Jiang, Renjin;Jiang, Xiaojuan;Yang, Dachun
Let G be a connected and simply connected nilpotent Lie group and L equivalent to -Delta + W be the Schrodinger operator on L-2(G), where 0 0) and {e(-t root L)}(t>0), respectively. The boundedness of the Riesz transform del L-1/2 from H-L(p)(G) to L-p(G) with p is an element of (0, 1] and from H-L(p)(G) to H-p(G) with p is an element of (D/(D + 1), 1] are also obtained, where D is the dimension at infinity of G.
