Sharp Lp-Lq estimate for the spectral projection associated with the twisted Laplacian

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Eunhee Jeong
Jeonbuk National University. Department of Mathematics Education
Sanghyuk Lee
Seoul National University. Department of Mathematical Sciences
Jaehyeon Ryu
Korea Institute for Advanced Study. School of Mathematics

In this note we are concerned with estimates for the spectral projection operator Pµ associated with the twisted Laplacian L. We completely characterize the optimal bounds on the operator norm of Pµ from Lp to Lq when 1 ≤ p ≤ 2 ≤ q ≤ ∞. As an application, we obtain a uniform resolvent estimate for L.

Keywords
twisted Laplacian, spectral projection

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How to Cite
Jeong, Eunhee et al. “Sharp Lp-Lq estimate for the spectral projection associated with the twisted Laplacian”. Publicacions Matemàtiques, 2022, vol.VOL 66, no. 2, pp. 831-55, https://raco.cat/index.php/PublicacionsMatematiques/article/view/402271.
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