Boundedness for multilinear commutator of Littlewood-Paley operator on Hardy and Herz-Hardy spaces.
Wu, Changhong, Liu, Lanzhe (2006)
Lobachevskii Journal of Mathematics
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Wu, Changhong, Liu, Lanzhe (2006)
Lobachevskii Journal of Mathematics
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M. Mateljević, M. Pavlović (1982)
Matematički Vesnik
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Colloquium Mathematicae
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Mostafa A. Nasr (1977)
Annales Polonici Mathematici
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Avkhadiev, F.G., Wirths, K.-J. (2002)
Lobachevskii Journal of Mathematics
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Wengu Chen, Yongsheng Han, Changxing Miao (2006)
Studia Mathematica
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We extend the well known factorization theorems on the unit disk to product Hardy spaces, which generalizes the previous results obtained by Coifman, Rochberg and Weiss. The basic tools are the boundedness of a certain bilinear form on ℝ²₊ × ℝ²₊ and the characterization of BMO(ℝ²₊ × ℝ²₊) recently obtained by Ferguson, Lacey and Sadosky.
Appel, Matthew J., Bourdon, Paul S., Thrall, John J. (1996)
Experimental Mathematics
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Oguntuase, J.A., Persson, L.-E., Essel, E.K., Popoola, B.A. (2008)
Banach Journal of Mathematical Analysis [electronic only]
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M. Pavlović (1995)
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Mathematische Zeitschrift
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S. K. Pichorides (1990)
Colloquium Mathematicae
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Guanghui Lu, Dinghuai Wang (2023)
Czechoslovak Mathematical Journal
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We study the mapping property of the commutator of Hardy-Littlewood maximal function on Triebel-Lizorkin spaces. Also, some new characterizations of the Lipschitz spaces are given.