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L-P-SOBOLEV REGULARITY FOR INTEGRAL OPERATORS OVER CERTAIN HYPERSURFACES

Authors
Heo, YaryongHong, SunggeumYang, Chan Woo
Issue Date
7월-2014
Publisher
KOREAN MATHEMATICAL SOC
Keywords
L-P-Sobolev regularity
Citation
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.51, no.4, pp.965 - 978
Indexed
SCIE
SCOPUS
KCI
Journal Title
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
Volume
51
Number
4
Start Page
965
End Page
978
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/98139
DOI
10.4134/BKMS.2014.51.4.965
ISSN
1015-8634
Abstract
In this paper we establish sharp L-P-regularity estimates for averaging operators with convolution kernel associated to hypersurfaces in R-d(d >= 2) of the form y bar right arrow (y, gamma(y)) where y is an element of Rd-1 and gamma(y) = Sigma(d-1)(i=1) +/- vertical bar y(i)vertical bar(mi) with 2 <= m(1) <= ... <= m(d-1) m(i)
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