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.
Original language | English |
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Pages (from-to) | 1383-1401 |
Number of pages | 19 |
Journal | Taiwanese Journal of Mathematics |
Volume | 22 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2018 Dec 1 |
Keywords
- Maximal averages
- Non-smooth and non-convex hypersurfaces
ASJC Scopus subject areas
- Mathematics(all)