| Generalized area operators on L^p（R^n） |
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| 作者姓名： | Ruifang HU Bolin MA Xianmin XU |
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| 作者单位： | Institute of Mathematics, Jiaxing University, Jiaxing 314001, China |
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| 基金项目： | Acknowledgements The authors were partially supported by the National Natural Science Foundation of China （Grant No. 11271162）, the Natural Science Foundation of Zhejiang Province （Y6110824）, and the second author was also partially supported by the Natural Science Foundation of Zhejiang Province （Y6100810）. |
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| 摘 要： | ![]()
We introduce the generalized area operators by using nonnegative measures defined on upper half-spaces R＋^n＋1. The characterization of the boundedness and compactness of the generalized area operator from LP（]Rn） to Lq（IRn） is investigated in terms of s-Carleson measures with 1 〈 p, q 〈 ＋∞. In the case of p = q = 1, the weak type estimate is also obtained.
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| 关 键 词： | 运营商 广义 Carleson测度 上半空间 紧凑性 有界性 p值 估计 |
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