On Some Theorems of Hardy, Littlewood and Titchmarsh.
P.L. Butzer (1961)
Mathematische Annalen
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P.L. Butzer (1961)
Mathematische Annalen
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Loukas Grafakos, Richard Rochberg (1995)
Mathematische Annalen
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Loukas Grafakos, Richard Rochberg (1994)
Mathematische Annalen
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Ian R. Inglis (1985)
Mathematische Annalen
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Klaus Gero Kalb (1984)
Mathematische Annalen
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Michael Cowling (1979)
Mathematische Annalen
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Xiaming Chen, Renjin Jiang, Dachun Yang (2016)
Analysis and Geometry in Metric Spaces
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Let Ω ⊂ Rn be a strongly Lipschitz domain. In this article, the authors study Hardy spaces, Hpr (Ω)and Hpz (Ω), and Hardy-Sobolev spaces, H1,pr (Ω) and H1,pz,0 (Ω) on , for p ∈ ( n/n+1, 1]. The authors establish grand maximal function characterizations of these spaces. As applications, the authors obtain some div-curl lemmas in these settings and, when is a bounded Lipschitz domain, the authors prove that the divergence equation div u = f for f ∈ Hpz (Ω) is solvable in H1,pz,0 (Ω) with...
G.H. Hardy (1907)
Mathematische Annalen
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(1925)
Mathematische Zeitschrift
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D.C. Chang (1990)
Mathematische Annalen
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S. and S. S. Pillai Chowla (1936)
Mathematische Zeitschrift
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S. and Sastry, S. Chowla (1936)
Mathematische Zeitschrift
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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.
M. Mateljević, M. Pavlović (1982)
Matematički Vesnik
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Mostafa A. Nasr (1977)
Annales Polonici Mathematici
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