Abstract
In this paper we establish sharp Lp-regularity estimates for averaging operators with convolution kernel associated to hypersurfaces in ℝd(d ≥ 2) of the form y → (y,γ(y)) where y ∈ ℝd-1 and γ(y) = Σd-1 i=1±|yi|m i with 2 ≤ m1 ≤ · · · ≤ md-1.
| Original language | English |
|---|---|
| Pages (from-to) | 965-978 |
| Number of pages | 14 |
| Journal | Bulletin of the Korean Mathematical Society |
| Volume | 51 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2014 Jan 1 |
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ASJC Scopus subject areas
- Mathematics(all)
Cite this
Lp-Sobolev regularity for integral operators over certain hypersurfaces. / Heo, Ya-Ryong; Hong, Sunggeum; Yang, Chan Woo.
In: Bulletin of the Korean Mathematical Society, Vol. 51, No. 4, 01.01.2014, p. 965-978.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Lp-Sobolev regularity for integral operators over certain hypersurfaces
AU - Heo, Ya-Ryong
AU - Hong, Sunggeum
AU - Yang, Chan Woo
PY - 2014/1/1
Y1 - 2014/1/1
N2 - In this paper we establish sharp Lp-regularity estimates for averaging operators with convolution kernel associated to hypersurfaces in ℝd(d ≥ 2) of the form y → (y,γ(y)) where y ∈ ℝd-1 and γ(y) = Σd-1 i=1±|yi|m i with 2 ≤ m1 ≤ · · · ≤ md-1.
AB - In this paper we establish sharp Lp-regularity estimates for averaging operators with convolution kernel associated to hypersurfaces in ℝd(d ≥ 2) of the form y → (y,γ(y)) where y ∈ ℝd-1 and γ(y) = Σd-1 i=1±|yi|m i with 2 ≤ m1 ≤ · · · ≤ md-1.
UR - http://www.scopus.com/inward/record.url?scp=84905671666&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84905671666&partnerID=8YFLogxK
U2 - 10.4134/BKMS.2014.51.4.965
DO - 10.4134/BKMS.2014.51.4.965
M3 - Article
AN - SCOPUS:84905671666
VL - 51
SP - 965
EP - 978
JO - Bulletin of the Korean Mathematical Society
JF - Bulletin of the Korean Mathematical Society
SN - 1015-8634
IS - 4
ER -