Interpolation between Hardy spaces on the bidisc
Kai-Ching Lin (1986)
Studia Mathematica
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Displaying similar documents to “Two theorems on the Hardy–Lorentz classes .”
Interpolation between Hardy spaces on the bidisc
Complex Interpolation and Fourier Multipliers for the Spaces B.... and F.... of Besov-Hardy-Sobolev Type: The Case 0<p....., 0<q.... .
Hans Triebel (1981)
Mathematische Zeitschrift
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On the generalized Hardy's inequality of McGhee, Pigno and Smith and the problem of interpolation between BMO and a Besov space.
Jaak Peetre, Erik Svensson (1984)
Mathematica Scandinavica
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Miroslav Pavlović (1992)
Publications de l'Institut Mathématique
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Interpolation between and
Oscar Blasco (1989)
Studia Mathematica
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On the coefficient multipliers theorem of Hardy and Littlewood.
Avkhadiev, F.G., Wirths, K.-J. (2002)
Lobachevskii Journal of Mathematics
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Boundedness of Hardy-Littlewood maximal operator in the framework of Lizorkin-Triebel spaces.
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).
A note on the Marcinkiewicz integral
Alberto Torchinsky, Shilin Wang (1990)
Colloquium Mathematicae
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Characterizations of commutators of the Hardy-Littlewood maximal function on Triebel-Lizorkin spaces
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.
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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Two observations on a theorem by Coifman
Jaak Peetre (1979)
Studia Mathematica
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Eigenfunctions of the Hardy-Littlewood maximal operator
Leonardo Colzani, Javier Pérez Lázaro (2010)
Colloquium Mathematicae
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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.