Sobolev estimates for averaging operators over a convex hypersurface in R3

Sunggeum Hong; Yaryong Heo; Chan Woo Yang

doi:10.1016/j.jmaa.2013.08.069

Sobolev estimates for averaging operators over a convex hypersurface in R³

Sunggeum Hong, Yaryong Heo, Chan Woo Yang

Department of Mathematics

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

1 Citation (Scopus)

Abstract

We prove sharp L^p-Sobolev estimates for averaging operators associated with a certain type of convex hypersurface in R³.

Original language	English
Pages (from-to)	244-268
Number of pages	25
Journal	Journal of Mathematical Analysis and Applications
Volume	412
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2013.08.069
Publication status	Published - 2014 Apr 1

Keywords

Lp→Lαp estimates
Sobolev regularity

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2013.08.069

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Cite this

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title = "Sobolev estimates for averaging operators over a convex hypersurface in R3",

abstract = "We prove sharp Lp-Sobolev estimates for averaging operators associated with a certain type of convex hypersurface in R3.",

keywords = "Lp→Lαp estimates, Sobolev regularity",

author = "Sunggeum Hong and Yaryong Heo and Yang, {Chan Woo}",

year = "2014",

month = apr,

day = "1",

doi = "10.1016/j.jmaa.2013.08.069",

language = "English",

volume = "412",

pages = "244--268",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

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T1 - Sobolev estimates for averaging operators over a convex hypersurface in R3

AU - Hong, Sunggeum

AU - Heo, Yaryong

AU - Yang, Chan Woo

PY - 2014/4/1

Y1 - 2014/4/1

N2 - We prove sharp Lp-Sobolev estimates for averaging operators associated with a certain type of convex hypersurface in R3.

AB - We prove sharp Lp-Sobolev estimates for averaging operators associated with a certain type of convex hypersurface in R3.

KW - Lp→Lαp estimates

KW - Sobolev regularity

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DO - 10.1016/j.jmaa.2013.08.069

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VL - 412

SP - 244

EP - 268

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

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IS - 1

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