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2001 $L\sp 2({\Bbb R}\sp n)$ boundedness for the commutators of convolution operators
Guoen Hu
Nagoya Math. J. 163: 55-70 (2001).

Abstract

The commutators of convolution operators are considered. By localization and Fourier transform estimates, a sufficient condition such that these commutators are bounded on $L^2(\mathbb{R}^n)$ is given. As applications, some new results about the $L^2(\mathbb{R}^n)$ boundedness for the commutators of homogeneous singular integral operators are established.

Citation

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Guoen Hu. "$L\sp 2({\Bbb R}\sp n)$ boundedness for the commutators of convolution operators." Nagoya Math. J. 163 55 - 70, 2001.

Information

Published: 2001
First available in Project Euclid: 27 April 2005

zbMATH: 0998.42008
MathSciNet: MR1854388

Subjects:
Primary: 42B20
Secondary: 47B47, 47G10

Rights: Copyright © 2001 Editorial Board, Nagoya Mathematical Journal

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