Sharp Lp-Lq estimates for Bochner-Riesz operators of negative index in ℝn, n≥3

Yonggeun Cho; Youngcheol Kim; Sanghyuk Lee; Yongsun Shim

doi:10.1016/j.jfa.2004.07.001

Sharp L^p-L^q estimates for Bochner-Riesz operators of negative index in ℝⁿ, n≥3

Yonggeun Cho
, Youngcheol Kim
, Sanghyuk Lee^*
, Yongsun Shim

^*Corresponding author for this work

Department of Mathematics

Yonsei University
Pohang University of Science and Technology

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

16 Scopus citations

Abstract

In this note we study L^p-L^q estimates for the Bochner-Riesz operators T^-α, α > 0 of negative order in ℝⁿ, n≥3.

Original language	English
Pages (from-to)	150-167
Number of pages	18
Journal	Journal of Functional Analysis
Volume	218
Issue number	1
DOIs	https://doi.org/10.1016/j.jfa.2004.07.001
State	Published - 2005.01.1

Keywords

Bochner-Riesz operators of negative index
Sharp estimates

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10.1016/j.jfa.2004.07.001

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@article{c554147a90fd49f28fec606aa2514683,

title = "Sharp Lp-Lq estimates for Bochner-Riesz operators of negative index in ℝn, n≥3",

abstract = "In this note we study Lp-Lq estimates for the Bochner-Riesz operators T-α, α > 0 of negative order in ℝn, n≥3.",

keywords = "Bochner-Riesz operators of negative index, Sharp estimates",

author = "Yonggeun Cho and Youngcheol Kim and Sanghyuk Lee and Yongsun Shim",

year = "2005",

month = jan,

day = "1",

doi = "10.1016/j.jfa.2004.07.001",

language = "English",

volume = "218",

pages = "150--167",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

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T1 - Sharp Lp-Lq estimates for Bochner-Riesz operators of negative index in ℝn, n≥3

AU - Cho, Yonggeun

AU - Kim, Youngcheol

AU - Lee, Sanghyuk

AU - Shim, Yongsun

PY - 2005/1/1

Y1 - 2005/1/1

N2 - In this note we study Lp-Lq estimates for the Bochner-Riesz operators T-α, α > 0 of negative order in ℝn, n≥3.

AB - In this note we study Lp-Lq estimates for the Bochner-Riesz operators T-α, α > 0 of negative order in ℝn, n≥3.

KW - Bochner-Riesz operators of negative index

KW - Sharp estimates

UR - https://www.scopus.com/pages/publications/8844238472

U2 - 10.1016/j.jfa.2004.07.001

DO - 10.1016/j.jfa.2004.07.001

M3 - Journal article

AN - SCOPUS:8844238472

SN - 0022-1236

VL - 218

SP - 150

EP - 167

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 1

ER -

Sharp L^p-L^q estimates for Bochner-Riesz operators of negative index in ℝⁿ, n≥3

Abstract

Keywords

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