Some properties of Riesz potential associated with SchrSdinger operator

Let L = --△ + Ⅴ be the SchrSdinger operator on Rd, d ≥ 3, where A is the Laplacian on Rd and V ≠ 0 is a nonnegative function satisfying the reverse HSlder inequality. In this article, the author investigates some properties of the Riesz potential IaL associated with L on the Campanato-type spaces ∧L...

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Veröffentlicht in:高校应用数学学报:英文版 2012, Vol.27 (1), p.59-68
1. Verfasser: JIANG Yin-sheng
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Sprache:eng
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Zusammenfassung:Let L = --△ + Ⅴ be the SchrSdinger operator on Rd, d ≥ 3, where A is the Laplacian on Rd and V ≠ 0 is a nonnegative function satisfying the reverse HSlder inequality. In this article, the author investigates some properties of the Riesz potential IaL associated with L on the Campanato-type spaces ∧Lβ and the Hardy-type spaces HLP.
ISSN:1005-1031