Higher order Riesz transforms for Hermite expansions

Abstract In this paper, we consider the Riesz transform of higher order associated with the harmonic oscillator L = − Δ + | x | 2 $L=-\Delta+|x|^{2}$ , where Δ is the Laplacian on R d $\mathbb {R}^{d}$ . Moreover, the boundedness of Riesz transforms of higher order associated with Hermite functions...

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Bibliographic Details
Main Author: Jizheng Huang
Format: Article
Language:English
Published: SpringerOpen 2017-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1376-1