Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2022; 59(1): 191-202

Online first article November 1, 2021      Printed January 31, 2022

https://doi.org/10.4134/BKMS.b210219

Copyright © The Korean Mathematical Society.

Quantitative weighted estimates for oscillatory singular integrals with rough kernels

Yanping Chen, Wenyu Tao

University of Science and Technology Beijing; University of Science and Technology Beijing

Abstract

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In this paper, we obtain the quantitative weighted bounds of oscillatory singular integral with rough kernel. Moreover, the quantitative weighted bounds of maximally truncated oscillatory singular integral with rough kernel are also obtained.

Keywords: Oscillatory singular integrals, rough kernel, quantitative weighted bounds

MSC numbers: 42B25, 42B20

Supported by: This work was financially supported by National Natural Science Foundation of China (No. 11871096 and 11471033).

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