Maximal Averages over Certain Non-smooth and Non-convex Hypersurfaces
- Authors
- Heo, Yaryong; Hong, Sunggeum; Yang, Chan Woo
- Issue Date
- 12월-2018
- Publisher
- MATHEMATICAL SOC REP CHINA
- Keywords
- maximal averages; non-smooth and non-convex hypersurfaces
- Citation
- TAIWANESE JOURNAL OF MATHEMATICS, v.22, no.6, pp.1383 - 1401
- Indexed
- SCIE
SCOPUS
- Journal Title
- TAIWANESE JOURNAL OF MATHEMATICS
- Volume
- 22
- Number
- 6
- Start Page
- 1383
- End Page
- 1401
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/71281
- DOI
- 10.11650/tjm/180204
- ISSN
- 1027-5487
- Abstract
- We consider the maximal operators whose averages are taken over some non-smooth and non-convex hypersurfaces. For each 1 <= i <= d - 1, let phi, : [-1, 1] -> be a continuous function satisfying some derivative conditions, and let phi(y) =Sigma(i=1)(d-1 )phi i(y(i) )We prove the L-P boundedness of the maximal operators associated with the graph of L-p which is a non-smooth and non-convex hypersurface in R-d , d >= 3.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Science > Department of Mathematics > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.