Some properties of Riesz potential associated with Schrdinger operator  

作　　者：JIANG Yin-sheng 

机构地区：[1]College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2012年第1期59-68,共10页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China(10861010,11161044)

摘　　要：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.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.

关 键 词：Schroedinger operator Riesz potential semigroup operator. 

分 类 号：O174.2[理学—数学] TP311.13[理学—基础数学]