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 |
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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 |
ASJC Scopus subject areas
- Mathematics(all)