Portugaliae Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 62, No. 1, pp. 25-34 (2005)

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Weighted boundedness of multilinear Littlewood--Paley operators for the extreme cases of $p$

Liu Lanzhe

College of Mathematics and Computer, Changsha University of Science and Technology,
Changsha 410077 -- P.R. OF CHINA
E-mail: lanzheliu@263.net

Abstract: In this paper, we prove the boundedness of multilinear Littlewood--Paley operators for the extreme cases of $p$.

Keywords: Littlewood--Paley operator; multilinear operator; weighted Hardy space; BMO space.

Classification (MSC2000): 42B20, 42B25.

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Electronic version published on: 7 Mar 2008.

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