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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B. Florkiewicz, A. Rybarski (1972)
Colloquium Mathematicae
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Mostafa A. Nasr (1977)
Annales Polonici Mathematici
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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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Liu, Lanzhe (2003)
Lobachevskii Journal of Mathematics
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M. Mateljević, M. Pavlović (1982)
Matematički Vesnik
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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.
Avkhadiev, F.G., Wirths, K.-J. (2002)
Lobachevskii Journal of Mathematics
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M. Pavlović (1995)
Publications de l'Institut Mathématique
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Appel, Matthew J., Bourdon, Paul S., Thrall, John J. (1996)
Experimental Mathematics
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Norio Niwa, Toshiya Jimbo, Shigeyoshi Owa (1998)
Annales Polonici Mathematici
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We derive some properties of the Hardy class of analytic functions defined by the Salagean operator.
Alois Kufner, Lars-Erik Persson, Anna Wedestig (2004)
Banach Center Publications
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Masaharu Kobayashi, Akihiko Miyachi, Naohito Tomita (2009)
Studia Mathematica
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A sharp embedding relation between local Hardy spaces and modulation spaces is given.