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

^*Corresponding author for this work

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

Bibliographical note

Funding Information:
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 NRF-2012R1A1A3005964 , NRF-2012R1A1A1011889 , and NRF-2013R1A1A2013659 .

Keywords

Lp→Lαp estimates
Sobolev regularity

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.jmaa.2013.08.069

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\}",

note = "Funding Information: 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 NRF-2012R1A1A3005964 , NRF-2012R1A1A1011889 , and NRF-2013R1A1A2013659 . ",

year = "2014",

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

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journal = "Journal of Mathematical Analysis and Applications",

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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

N1 - Funding Information: 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 NRF-2012R1A1A3005964 , NRF-2012R1A1A1011889 , and NRF-2013R1A1A2013659 .

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

UR - https://www.scopus.com/pages/publications/84890983606

U2 - 10.1016/j.jmaa.2013.08.069

DO - 10.1016/j.jmaa.2013.08.069

M3 - Article

AN - SCOPUS:84890983606

SN - 0022-247X

VL - 412

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EP - 268

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

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