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

Department of Mathematics Education

Seoul National University
Korea Institute for Advanced Study

Research output: Contribution to journal › Journal article › peer-review

7 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

Keywords

spectral projection
twisted Laplacian

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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.",

keywords = "spectral projection, twisted Laplacian",

author = "Eunhee Jeong and Sanghyuk Lee and Jaehyeon Ryu",

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T1 - SHARP Lp-Lq ESTIMATE FOR THE SPECTRAL PROJECTION ASSOCIATED WITH THE TWISTED LAPLACIAN

AU - Jeong, Eunhee

AU - Lee, Sanghyuk

AU - Ryu, Jaehyeon

PY - 2022

Y1 - 2022

N2 - 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.

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

U2 - 10.5565/PUBLMAT6622210

DO - 10.5565/PUBLMAT6622210

M3 - Journal article

AN - SCOPUS:85133359099

SN - 0214-1493

VL - 66

SP - 831

EP - 855

JO - Publicacions Matematiques

JF - Publicacions Matematiques

ER -