Riesz transforms associated to Schrödinger operators on weighted Hardy spaces |
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Authors: | Liang Song Lixin Yan |
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Institution: | Department of Mathematics, Sun Yat-sen (Zhongshan) University, Guangzhou, 510275, PR China |
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Abstract: | Let w be some Ap weight and enjoy reverse Hölder inequality, and let L=−Δ+V be a Schrödinger operator on Rn, where is a non-negative function on Rn. In this article we introduce weighted Hardy spaces associated to L in terms of the area function characterization, and prove their atomic characters. We show that the Riesz transform ∇L−1/2 associated to L is bounded on for 1<p<2, and bounded from to the classical weighted Hardy space . |
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Keywords: | Riesz transform Schrö dinger operator Weighted Hardy space Heat semigroup Atom Molecule |
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