| Heisenberg群上与Schrödinger算子相关的Riesz变换在Hardy空间上的有界性 |
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| 引用本文： | 陈萱.Heisenberg群上与Schr?dinger算子相关的Riesz变换在Hardy空间上的有界性[J].数学物理学报(A辑),2021(1):46-62. |
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| 作者姓名： | 陈萱 |
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| 作者单位： | 青岛大学数学与统计学院 |
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| 基金项目： | 国家自然科学基金(11871293,11571217);山东自然科学基金(ZR2017JL008,ZR2016AM05);山东省高校科技项目(J15LI15)。 |
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| 摘 要： | 令L=?ΔHn+V是Heisenberg群Hn上Schr?dinger算子,其中非负位势V属于逆H?lder类.该文用分子刻画与L相关的Hardy型空间HL^p(H^n),进而得到了与L相关的Riesz变换的HL^p-有界性.
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| 关 键 词： | HARDY空间 HEISENBERG群 RIESZ变换 Schr?dinger算子 |
Boundness of Riesz Transforms on Hardy Spaces Associated with Schrödinger Operators on the Heisenberg Group |
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| Chen Xuan.Boundness of Riesz Transforms on Hardy Spaces Associated with Schr?dinger Operators on the Heisenberg Group[J].Acta Mathematica Scientia,2021(1):46-62. |
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| Authors: | Chen Xuan |
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| Institution: | (School of Mathematics and Statistics,Qingdao University,Shandong Qingdao 266071) |
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| Abstract: | Let L=?ΔHn+V be a Schr?dinger operator on the Heisenberg group Hn,where V is a nonnegative potential belonging to the reverse H?lder class.By the molecular decomposition of the Hardy space HL^p(Hn),we obtain the HL^p-boundedness of the Riesz transform associated with L. |
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| Keywords: | Hardy spaces Heisenberg group Riesz transform Schr?dinger operators |
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