Bochner-Riesz means associated with conical surfaces

Yaryong Heo

doi:10.1016/j.jmaa.2012.08.016

Bochner-Riesz means associated with conical surfaces

Yaryong Heo

Department of Mathematics

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

3 Citations (Scopus)

Abstract

Let d ₁ and d ₂ be two nonnegative integers greater than 2. We study the Fourier multiplier T ^λ associated with a conical surface S=defined by is a smooth function defined on R, that is supported in (1/2, 2).

Original language	English
Pages (from-to)	715-729
Number of pages	15
Journal	Journal of Mathematical Analysis and Applications
Volume	397
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2012.08.016
Publication status	Published - 2013 Jan 15

Keywords

Bochner-Riesz means
Cone multiplier
Fourier multipliers

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2012.08.016

Cite this

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title = "Bochner-Riesz means associated with conical surfaces",

abstract = "Let d 1 and d 2 be two nonnegative integers greater than 2. We study the Fourier multiplier T λ associated with a conical surface S=defined by is a smooth function defined on R, that is supported in (1/2, 2).",

keywords = "Bochner-Riesz means, Cone multiplier, Fourier multipliers",

author = "Yaryong Heo",

note = "Funding Information: The author would like to thank the referee for the careful reading and suggestions to improve the presentation of the work. This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2012R1A1A1011889 ).",

year = "2013",

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doi = "10.1016/j.jmaa.2012.08.016",

language = "English",

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pages = "715--729",

journal = "Journal of Mathematical Analysis and Applications",

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T1 - Bochner-Riesz means associated with conical surfaces

AU - Heo, Yaryong

N1 - Funding Information: The author would like to thank the referee for the careful reading and suggestions to improve the presentation of the work. This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2012R1A1A1011889 ).

PY - 2013/1/15

Y1 - 2013/1/15

N2 - Let d 1 and d 2 be two nonnegative integers greater than 2. We study the Fourier multiplier T λ associated with a conical surface S=defined by is a smooth function defined on R, that is supported in (1/2, 2).

AB - Let d 1 and d 2 be two nonnegative integers greater than 2. We study the Fourier multiplier T λ associated with a conical surface S=defined by is a smooth function defined on R, that is supported in (1/2, 2).

KW - Bochner-Riesz means

KW - Cone multiplier

KW - Fourier multipliers

UR - http://www.scopus.com/inward/record.url?scp=84867140003&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2012.08.016

DO - 10.1016/j.jmaa.2012.08.016

M3 - Article

AN - SCOPUS:84867140003

SN - 0022-247X

VL - 397

SP - 715

EP - 729

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Bochner-Riesz means associated with conical surfaces

Abstract

Keywords

ASJC Scopus subject areas

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