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April, 2020 Averaging Operators Along a Certain Type of Surfaces with Hypersingularity
Jin Bong Lee, Jongho Lee, Chan Woo Yang
Taiwanese J. Math. 24(2): 317-329 (April, 2020). DOI: 10.11650/tjm/191101

Abstract

In this paper we obtain almost sharp decay estimates for $L^2$ operator norm of strongly singular oscillatory integral operators in $\mathbb{R}^{n+1}$ for $n \geq 2$; we prove some necessary condition for $L^2$ estimates. Also, we prove that the operators are bounded on $L^p$ for some $p \neq 2$ and the range of $p$ depends on the hypersingularity of the operators.

Citation

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Jin Bong Lee. Jongho Lee. Chan Woo Yang. "Averaging Operators Along a Certain Type of Surfaces with Hypersingularity." Taiwanese J. Math. 24 (2) 317 - 329, April, 2020. https://doi.org/10.11650/tjm/191101

Information

Received: 3 April 2019; Revised: 20 October 2019; Accepted: 31 October 2019; Published: April, 2020
First available in Project Euclid: 4 November 2019

zbMATH: 07192937
MathSciNet: MR4078200
Digital Object Identifier: 10.11650/tjm/191101

Subjects:
Primary: 42B15, 42B20

Rights: Copyright © 2020 The Mathematical Society of the Republic of China

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Vol.24 • No. 2 • April, 2020
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