Some new tent spaces and duality theorems for fractional Carleson measures and Qα(Rn)
Some new tent spaces and duality theorems for fractional Carleson measures and Qα(Rn)
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DOI：
10.1016/s0022-1236(03)00181-2
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发表时间：
2004-03
影响因子：
1.7
通讯作者：
G. Dafni;J. Xiao
中科院分区：
文献类型：
--
作者：
G. Dafni;J. Xiao
利用一类新的帐篷空间解决了分数Carleson测度与空间Qα（Rn）的若干对偶问题.这些帐篷空间被定义在Choquet积分的Hausdorff容量。定义Qα（Rn）的预对偶为包含哈代空间H1的分布空间，并证明了其原子分解.
Several duality questions for fractional Carleson measures and the spaces Qα( Rn) are resolved using a new type of tent spaces. These tent spaces are defined in terms of Choquet integrals with respect to Hausdorff capacity. A predual for Qα( Rn) is then defined as a space of distributions containing the Hardy space H1, and an atomic decomposition is proved.