$L^p$ 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 $R$

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 $R$ and give sharp $L^{2}$ estimates and nearly sharp $L^{p}$ estimates.

Cite this article

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

DOI 10.4171/RMI/446