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Some properties of Riesz potential associated with SchrSdinger operator
Authors:Yin-sheng Jiang
Affiliation:1. College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, China
Abstract:Let L = −Δ + V be the Schr?dinger operator on ℝ d , d ≥ 3, where Δ is the Laplacian on ℝ d and V ≢ 0 is a nonnegative function satisfying the reverse H?lder inequality. In this article, the author investigates some properties of the Riesz potential I α L associated with L on the Campanato-type spaces Λ L β and the Hardy-type spaces H L p .
Keywords:Schroedinger operator   Riesz potential   semigroup operator.
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