Abstract
We prove sharp Lp-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 | |
| Publication status | Published - 2014 Apr 1 |
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Keywords
- Lp→Lαp estimates
- Sobolev regularity
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
Cite this
Sobolev estimates for averaging operators over a convex hypersurface in R3 . / Hong, Sunggeum; Heo, Ya-Ryong; Yang, Chan Woo.
In: Journal of Mathematical Analysis and Applications, Vol. 412, No. 1, 01.04.2014, p. 244-268.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Sobolev estimates for averaging operators over a convex hypersurface in R3
AU - Hong, Sunggeum
AU - Heo, Ya-Ryong
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 -