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