Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2009; 46(3): 577-588

Printed May 1, 2009

https://doi.org/10.4134/JKMS.2009.46.3.577

Copyright © The Korean Mathematical Society.

$L^p$-boundedness for the commutators of rough oscillatory singular integrals with non-convolution phases

Huoxiong Wu

Xiamen University

Abstract

In this paper, the author studies the $k$-th commutators of oscillatory singular integral operators with a BMO function and phases more general than polynomials. For $1

Keywords: commutator, oscillatory singular integral, BMO($\mathbb R^n$), rough kernel

MSC numbers: Primary 42B20; Secondary 42B25