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Cho, Yonggeun; Kim, Young‐Cheol; Lee, Sanghyuk; Shim, Yongsun

doi:10.1016/j.jfa.2004.07.001

Journal of Functional Analysis

2005

DOI: 10.1016/j.jfa.2004.07.001

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Sharp Lp-Lq estimates for Bochner–Riesz operators of negative index in
Yonggeun Cho
¹
,
Young‐Cheol Kim
²
,
Sanghyuk Lee
³

et al.

Abstract: In this note we study L p -L q estimates for the Bochner-Riesz operators T − , > 0 of negative order in R n , n 3.

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Cited by 16 publications

References 16 publications

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Time-Harmonic Solutions for Maxwell’s Equations in Anisotropic Media and Bochner–Riesz Estimates with Negative Index for Non-elliptic Surfaces

Mandel

Schippa

2021

Ann. Henri Poincaré

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We solve time-harmonic Maxwell’s equations in anisotropic, spatially homogeneous media in intersections of $$L^p$$ L p -spaces. The material laws are time-independent. The analysis requires Fourier restriction–extension estimates for perturbations of Fresnel’s wave surface. This surface can be decomposed into finitely many components of the following three types: smooth surfaces with non-vanishing Gaussian curvature, smooth surfaces with Gaussian curvature vanishing along one-dimensional submanifolds but without flat points, and surfaces with conical singularities. Our estimates are based on new Bochner–Riesz estimates with negative index for non-elliptic surfaces.

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Time-Harmonic Solutions for Maxwell’s Equations in Anisotropic Media and Bochner–Riesz Estimates with Negative Index for Non-elliptic Surfaces

Mandel

Schippa

2021

Ann. Henri Poincaré

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Resolvent Estimates for the Lamé Operator and Failure of Carleman Estimates

Kwon

Lee

Seo

2021

J Fourier Anal Appl

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Improved bound for the bilinear Bochner–Riesz operator

2018

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Sharp Lp-Lq estimates for Bochner–Riesz operators of negative index in
Yonggeun Cho
¹
,
Young‐Cheol Kim
²
,
Sanghyuk Lee
³

et al.

Abstract: In this note we study L p -L q estimates for the Bochner-Riesz operators T − , > 0 of negative order in R n , n 3.

Cited by 16 publications

References 16 publications

Time-Harmonic Solutions for Maxwell’s Equations in Anisotropic Media and Bochner–Riesz Estimates with Negative Index for Non-elliptic Surfaces

Time-Harmonic Solutions for Maxwell’s Equations in Anisotropic Media and Bochner–Riesz Estimates with Negative Index for Non-elliptic Surfaces

Resolvent Estimates for the Lamé Operator and Failure of Carleman Estimates

Improved bound for the bilinear Bochner–Riesz operator

Contact Info

Product

Resources

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Sharp Lp-Lq estimates for Bochner–Riesz operators of negative index in Yonggeun Cho1, Young‐Cheol Kim2, Sanghyuk Lee3 et al.

Abstract: In this note we study L p -L q estimates for the Bochner-Riesz operators T − , > 0 of negative order in R n , n 3.

Cited by 16 publications

References 16 publications

Time-Harmonic Solutions for Maxwell’s Equations in Anisotropic Media and Bochner–Riesz Estimates with Negative Index for Non-elliptic Surfaces

Time-Harmonic Solutions for Maxwell’s Equations in Anisotropic Media and Bochner–Riesz Estimates with Negative Index for Non-elliptic Surfaces

Resolvent Estimates for the Lamé Operator and Failure of Carleman Estimates

Improved bound for the bilinear Bochner–Riesz operator

Contact Info

Product

Resources

About

Sharp Lp-Lq estimates for Bochner–Riesz operators of negative index in
Yonggeun Cho
¹
,
Young‐Cheol Kim
²
,
Sanghyuk Lee
³

et al.