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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
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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