Abstract
In this paper, we study the L p boundedness for a class of maximal functions along surfaces in ℝn × ℝm of the form {(φ1(|u|)u′, φ2(|v|)v′) : (u,v) ∈ ℝn × ℝm}.We prove that such maximal functions are bounded on L p for all 2 ≤ p < ∞ provided that the functions φ1 and φ2 satisfy certain oscillatory estimates of van der Corput type.
Original language | English |
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Pages (from-to) | 163-175 |
Number of pages | 13 |
Journal | Analysis Mathematica |
Volume | 34 |
Issue number | 3 |
DOIs | |
Publication status | Published - Sep 2008 |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)