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A Singular Integral on L 2(Rn )

Published online by Cambridge University Press:  20 November 2018

Dashan Fan
Dashan Fan*
Affiliation:
Department of Mathematical Sciences, University of Wisconsin-Milwaukee Milwaukee, Wisconsin 53201 U.S.A. e-mail:, Fan@csd4.csd.uwm.edu
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Abstract

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We consider a convolution singular integral operator associated to a kernel K(x) = b(x)Ω(x)|x|-n, and prove that if b ∊ L ∞(ℝn ) is a radial function and Ω ∊ H(Σn-1) with mean zero condition (1), then is a bounded linear operator in the space L 2(ℝn ).

Keywords

42B99

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 2 , 01 June 1994, pp. 197 - 201
Copyright
Copyright © Canadian Mathematical Society 1994

References

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