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L2(ℝn ) boundedness for the commutators of convolution operators

Published online by Cambridge University Press:  22 January 2016

Guoen Hu
Guoen Hu*
Affiliation:
Department of Applied Mathematics, University of Information Engineering, P. O. Box 1001-747, Zhengzhou 450002, People’s Republic of China, huguoen@371.net
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Abstract

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The commutators of convolution operators are considered. By localization and Fourier transform estimates, a sufficient condition such that these commutators are bounded on L2(ℝn ) is given. As applications, some new results about the L2(ℝn ) boundedness for the commutators of homogeneous singular integral operators are established.

Keywords

42B20

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 163 , September 2001 , pp. 55 - 70
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2001

References

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