Sharp Lp-Lq estimate for the spectral projection associated with the twisted Laplacian
Jeong, Eunhee (Jeonbuk National University. Department of Mathematics Education)
Lee, Sanghyuk (Seoul National University. Department of Mathematical Sciences)
Ryu, Jaehyeon (Korea Institute for Advanced Study. School of Mathematics)

Date:	2022
Abstract:	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.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Twisted laplacian ; Spectral projection
Published in:	Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 831-855 (Articles) , ISSN 2014-4350

Adreça original: https://raco.cat/index.php/PublicacionsMatematiques/article/view/402271
DOI: 10.5565/PUBLMAT6622210

25 p, 504.6 KB

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