$L^p$ decay estimates for weighted oscillatory integral operators on $\mathbb{R}$

Malabika Pramanik; Chan Woo Yang

doi:10.4171/rmi/446

JournalsrmiVol. 21, No. 3pp. 1071–1095

$L^p$ decay estimates for weighted oscillatory integral operators on $\mathbb{R}$

Malabika Pramanik
California Institute of Technology, Pasadena, USA
Chan Woo Yang
Korea University, Seoul, South Korea

$$L^p$ decay estimates for weighted oscillatory integral operators on $\mathbb{R}$ cover$

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Abstract

In this paper, we formulate necessary conditions for decay rates of $L^p$ operator norms of weighted oscillatory integral operators on $\mathbb{R}$ and give sharp $L^2$ estimates and nearly sharp $L^p$ estimates.

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Malabika Pramanik, Chan Woo Yang, $L^p$ decay estimates for weighted oscillatory integral operators on $\mathbb{R}$ . Rev. Mat. Iberoam. 21 (2005), no. 3, pp. 1071–1095

DOI 10.4171/RMI/446