海森堡群上薛定谔算子的黎斯位势的某些性质 |
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引用本文: | 江寅生. 海森堡群上薛定谔算子的黎斯位势的某些性质[J]. 数学学报, 2010, 53(4): 785-794 |
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作者姓名: | 江寅生 |
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作者单位: | 新疆大学数学与系统科学学院 乌鲁木齐 830046 |
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基金项目: | 国家自然科学基金资助项目(10861010) |
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摘 要: | 设L=-△_(H~n)+V是Heisenberg群H~n上的Schr(o|¨)dinger算子,其中△_(H~n)为H~n上的次Laplacian,V≠0为满足逆H(o|¨)lder不等式的非负函数.本文研究H~n上Riesz位势I_α~L=L~(-α/2)在Campanato型空间A_L~β和Hardy型空间H_L~p上的某些性质.
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关 键 词: | Schr(o|¨)dinger算子 Riesz位势 Heisenberg群 |
收稿时间: | 2009-04-30 |
修稿时间: | 2010-01-20 |
Some Properties of Riesz Potential Associated to Schrödinger Operator on the Heisenberg Groups |
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Affiliation: | College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, P. R. China |
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Abstract: | Let L=-ΔHn+V be the Schrödinger operator on the Heisenberg groups Hn where ΔHn is the sub-Laplacian on Hn and is a nonnegative function satisfying the reverse Hölder inequality. In this article, the author investigates some properties of the Riesz potential ILα=L-α/2 on the Campanato-type spaces ΛβL and the Hardy-type spaces HpL on Hn. |
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Keywords: | Schrö dinger operator Riesz potential Heisenberg group |
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