Year: 2023
Author: Shaoyu Dai, Yang Liu, Yifei Pan
Analysis in Theory and Applications, Vol. 39 (2023), Iss. 1 : pp. 83–92
Abstract
Let P(∆) be a polynomial of the Laplace operator ∆ = \sum\limits^n_{j=1}\frac{∂^2}{∂x^2_j} \ \ on \ \ \mathbb{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(\mathbb{R}^n ,e^{−|x|^2}).
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2021-0027
Analysis in Theory and Applications, Vol. 39 (2023), Iss. 1 : pp. 83–92
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Laplace operator polynomial right inverse weighted Hilbert space Gaussian measure.