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.
Luis Caffarelli, Calixto Calderón (1974)
Studia Mathematica
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M. Mateljević, M. Pavlović (1982)
Matematički Vesnik
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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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R. Dror, S. Ganguli, R. Strichartz (1995)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Mostafa A. Nasr (1977)
Annales Polonici Mathematici
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Soulaymane Korry (2001)
Collectanea Mathematica
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Terasawa, Yutaka (2006)
Journal of Inequalities and Applications [electronic only]
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Avkhadiev, F.G., Wirths, K.-J. (2002)
Lobachevskii Journal of Mathematics
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Soulaymane Korry (2002)
Revista Matemática Complutense
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We describe a class O of nonlinear operators which are bounded on the Lizorkin-Triebel spaces F (R), for 0 < s < 1 and 1 < p, q < ∞. As a corollary, we prove that the Hardy-Littlewood maximal operator is bounded on F (R), for 0 < s < 1 and 1 < p, q < ∞ ; this extends the result of Kinnunen (1997), valid for the Sobolev space H (R).
R. Kerman, A. Torchinsky (1982)
Studia Mathematica
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