SHARP Lp-Lq ESTIMATE FOR THE SPECTRAL PROJECTION ASSOCIATED WITH THE TWISTED LAPLACIAN

Eunhee Jeong; Sanghyuk Lee; Jaehyeon Ryu

doi:10.5565/PUBLMAT6622210

SHARP L^p-L^q ESTIMATE FOR THE SPECTRAL PROJECTION ASSOCIATED WITH THE TWISTED LAPLACIAN

Eunhee Jeong
, Sanghyuk Lee
, Jaehyeon Ryu

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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 L^p to L^q when 1 ≤ p ≤ 2 ≤ q ≤ ∞. As an application, we obtain a uniform resolvent estimate for L.

Original language	English
Pages (from-to)	831-855
Number of pages	25
Journal	Publicacions Matematiques
Volume	66
DOIs	https://doi.org/10.5565/PUBLMAT6622210
State	Published - 2022

Bibliographical note

Publisher Copyright:
© 2022 Universitat Autonoma de Barcelona. All rights reserved.

Keywords

spectral projection
twisted Laplacian

Access to Document

10.5565/PUBLMAT6622210

Cite this

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title = "SHARP Lp-Lq ESTIMATE FOR THE SPECTRAL PROJECTION ASSOCIATED WITH THE TWISTED LAPLACIAN",

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.",

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AU - Lee, Sanghyuk

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AB - 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.

KW - spectral projection

KW - twisted Laplacian

UR - https://www.scopus.com/pages/publications/85133359099

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DO - 10.5565/PUBLMAT6622210

M3 - Article

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EP - 855

JO - Publicacions Matematiques

JF - Publicacions Matematiques

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