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deLeeuw’s theorem on Littlewood-Paley functions

Published online by Cambridge University Press:  22 January 2016

Chang-Pao Chen ,
Dashan Fan  and
Shuichi Sato
Chang-Pao Chen
Affiliation:
Department of Mathematics, National TsingHua University, Hsinchu 300, Taiwan (R.O.C)
Dashan Fan
Affiliation:
Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, WI 53201, U.S.A.
Shuichi Sato
Affiliation:
Department of Mathematics, Kanazawa University, Kanazawa, 920-1192, Japan
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Abstract

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We establish certain deLeeuw type theorems for Littlewood-Paley functions. By these theorems, we know that the boundedness of a Littlewood-Paley function on ℝn is equivalent to the boundedness of its corresponding Littlewood-Paley function on the torus Tn.

Keywords

42B2042B25
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 165 , March 2002 , pp. 23 - 42
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2002

References

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