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

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

Access to Document

10.1016/j.jmaa.2013.08.069

Fingerprint Dive into the research topics of 'Sobolev estimates for averaging operators over a convex hypersurface in R<sup>3</sup>'. Together they form a unique fingerprint.

Cite this

Hong, S., Heo, Y., & Yang, C. W. (2014). Sobolev estimates for averaging operators over a convex hypersurface in R³. Journal of Mathematical Analysis and Applications, 412(1), 244-268. https://doi.org/10.1016/j.jmaa.2013.08.069

@article{47dd18ea33e54c0cacc244863c6a5d58,

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",

}

TY - JOUR

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

UR - http://www.scopus.com/inward/record.url?scp=84890983606&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84890983606&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2013.08.069

DO - 10.1016/j.jmaa.2013.08.069

M3 - Article

AN - SCOPUS:84890983606

VL - 412

SP - 244

EP - 268

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

ER -