| LITTLEWOOD-PALEY THEOREM FOR SCHROEDINGER OPERATORS |
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| 作者姓名： | Shijun Zheng |
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| 作者单位： | [1]University of South Carolina, Columbia [2]Department of MathematicsUniversity of South Carolina Columbia, SC 29208 USA |
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| 基金项目： | Supported by DARPA grant HM1582-05-2-0001. The author gratefully thanks the hospitality and support of Department of Mathematics, University of South Carolina, during his visiting at the Industrial Mathematics Institute, |
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| 摘 要： |
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| 关 键 词： | 谐函数 线性空间 双值 多项式 |
| 修稿时间： | 2006-07-26 |
Littlewood-Paley theorem for Schrödinger operators |
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| Shijun Zheng.LITTLEWOOD-PALEY THEOREM FOR SCHROEDINGER OPERATORS[J].Analysis in Theory and Applications,2006,22(4):353-361. |
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| Authors: | Shijun Zheng |
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| Institution: | 1. Department of Mathematics, University of South Carolina, Columbia, SC, 29208, USA
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| Abstract: | Let H be a Schroedinger operator on R^n. Under a polynomial decay condition for the kernel of its spectral operator, we show that the Besov spaces and Triebel-Lizorkin spaces associated with H are well defined. We further give a Littlewood-Paley characterization of Lp spaces in terms of dyadic functions of H. This generalizes and strengthens the previous result when the heat kernel of H satisfies certain upper Gaussian bound. |
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| Keywords: | functional calculus SchrSdinger operator Littlewood-Paley theory |
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