首页|On a Right Inverse of a Polynomial of the Laplace in the Weighted Hilbert Space L2(Rn,e-|x|2)

On a Right Inverse of a Polynomial of the Laplace in the Weighted Hilbert Space L2(Rn,e-|x|2)

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Let P(Δ)be a polynomial of the Laplace operatorΔ=nΣj=1∂2/∂xj2 on Rn.We prove the existence of a bounded right inverse of the differential operator P(Δ)in the weighted Hilbert space with the Gaussian measure,i.e.,L2(Rn,e-|x|2).

Laplace operatorpolynomialright inverseweighted Hilbert spaceGaussian mea-sure

Shaoyu Dai、Yang Liu、Yifei Pan

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Department of Mathematics,Jinling Institute of Technology,Nanjing,Jiangsu 211169,China

Department of Mathematics,Zhejiang Normal University,Jinhua,Zhejiang 321004,China

Department of Mathematical Sciences,Purdue University Fort Wayne,Fort Wayne,46805-1499,USA

2023

10.4208/ata.OA-2021-0027

分析、理论与应用(英文版)
南京大学

分析、理论与应用(英文版)

CSCD北大核心
影响因子：0.111
ISSN：1672-4070
年,卷(期)：2023.39(1)
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