| LITTLEWOOD-PALEY THEOREM FOR SCHR DINGER OPERATORS |
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| 作者单位： | University of South Carolina，Columbia |
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| 摘 要： | Let H be a Schrodinger operator on Rn. 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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LITTLEWOOD-PALEY THEOREM FOR SCHR DINGER OPERATORS |
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| Authors: | Shijun Zheng |
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| Abstract: | Let H be a Schrodinger operator on Rn. 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 Schr dinger operator Littlewood-Paley theory |
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