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On the Generalized Marcinkiewicz Integral Operators with Rough Kernels

Published online by Cambridge University Press:  20 November 2018

Dashan Fan
Affiliation:
Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, WI, U.S.A.e-mail: [email protected]
Huoxiong Wu
Affiliation:
School of Mathematical Sciences, Xiamen University, Xiamen Fujian, P. R. Chinae-mail: [email protected]
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Abstract

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A class of generalized Marcinkiewicz integral operators is introduced, and, under rather weak conditions on the integral kernels, the boundedness of such operators on ${{L}^{p}}$ and Triebel–Lizorkin spaces is established.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2011

References

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