Maximal functions along surfaces on product domains

Ahmad Al-Salman

doi:10.1007/s10476-008-0301-8

Maximal functions along surfaces on product domains

Ahmad Al-Salman

Mathematics & Statistics

Research output: Contribution to journal › Article

5 Citations (Scopus)

Abstract

In this paper, we study the L ^p boundedness for a class of maximal functions along surfaces in ℝⁿ × ℝ^m of the form {(φ₁(|u|)u′, φ₂(|v|)v′) : (u,v) ∈ ℝ_n × ℝ_m}.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
Pages (from-to)	163-175
Number of pages	13
Journal	Analysis Mathematica
Volume	34
Issue number	3
DOIs	https://doi.org/10.1007/s10476-008-0301-8
Publication status	Published - Sep 2008

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ASJC Scopus subject areas

Mathematics(all)

Cite this

Al-Salman, A. (2008). Maximal functions along surfaces on product domains. Analysis Mathematica, 34(3), 163-175. https://doi.org/10.1007/s10476-008-0301-8

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10.1007/s10476-008-0301-8