An extension of the Hardy-Littlewood inequality
M. Mateljević, M. Pavlović (1982)
Matematički Vesnik
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M. Mateljević, M. Pavlović (1982)
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Shinji Yamashita (1988)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Mostafa A. Nasr (1977)
Annales Polonici Mathematici
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Wu, Changhong, Liu, Lanzhe (2006)
Lobachevskii Journal of Mathematics
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Soulaymane Korry (2001)
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Leonardo Colzani, Javier Pérez Lázaro (2010)
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We prove that peak shaped eigenfunctions of the one-dimensional uncentered Hardy-Littlewood maximal operator are symmetric and homogeneous. This implies that the norms of the maximal operator on L(p) spaces are not attained.
Sarikaya, Mehmet Zeki, Yildrim, Hüseyin (2006)
Lobachevskii Journal of Mathematics
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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.
Avkhadiev, F.G., Wirths, K.-J. (2002)
Lobachevskii Journal of Mathematics
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Liu, Lanzhe (2003)
Lobachevskii Journal of 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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