On a Right Inverse of a Polynomial of the Laplace in the Weighted Hilbert Space L^(2)(R^(n),e^(−|x|^(2)))  

作　　者：Shaoyu Dai Yang Liu Yifei Pan 

机构地区：[1]Department of Mathematics,Jinling Institute of Technology,Nanjing,Jiangsu 211169,China [2]Department of Mathematics,Zhejiang Normal University,Jinhua,Zhejiang 321004,China [3]Department of Mathematical Sciences,Purdue University Fort Wayne,Fort Wayne,46805-1499,USA

出　　处：《Analysis in Theory and Applications》2023年第1期83-92,共10页分析理论与应用（英文刊）

摘　　要：Let P(∆)be a polynomial of the Laplace operator∆=n∑j=1∂^(2)∂x^(2)_(j) on R^(n).We prove the existence of a bounded right inverse of the differential operator P(∆)in the weighted Hilbert space with the Gaussian measure,i.e.,L^(2)(R^(n),e^(−|x|^(2))).

关 键 词：Laplace operator POLYNOMIAL right inverse weighted Hilbert space Gaussian measure 

分 类 号：O175[理学—数学]