@article{21320b554fa643be9e9ee2ca3d0af603,
title = "Maximal averages over certain non-smooth and non-convex hypersurfaces",
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 φi: [−1,1] → R be a continuous function satisfying some derivative conditions, and let (Formula presented). We prove the Lp boundedness of the maximal operators associated with the graph of φ which is a non-smooth and non-convex hypersurface in Rd, d ≥ 3.",
keywords = "Maximal averages, Non-smooth and non-convex hypersurfaces",
author = "Yaryong Heo and Sunggeum Hong and Yang, {Chan Woo}",
note = "Funding Information: This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology NRF-2015R1A1A1A05001304, NRF-2014R1A1A3049983, and NRF-2016R1D1A1B01014575.The authors would like to thank the referee for the careful reading and valuable suggestions to improve the presentation of this paper. Publisher Copyright: {\textcopyright} 2018, Mathematical Society of the Rep. of China. All rights reserved.",
year = "2018",
month = dec,
day = "1",
doi = "10.11650/tjm/180204",
language = "English",
volume = "22",
pages = "1383--1401",
journal = "Taiwanese Journal of Mathematics",
issn = "1027-5487",
publisher = "Mathematical Society of the Rep. of China",
number = "6",
}