On Hardy-Lipschitz spaces
M. Mateljević, M. Pavlović (1985)
Matematički Vesnik
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M. Mateljević, M. Pavlović (1985)
Matematički Vesnik
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Joan Mateu, Yuri Netrusov, Joan Orobitg, Joan Verdera (1996)
Annales de l'institut Fourier
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We consider the problem of qualitative approximation by solutions of a constant coefficients homogeneous elliptic equation in the Lipschitz and BMO norms. Our method of proof is well-known: we find a sufficient condition for the approximation reducing matters to a weak spectral synthesis problem in an appropriate Lizorkin-Triebel space. A couple of examples, evolving from one due to Hedberg, show that our conditions are sharp.
Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza (2015)
Concrete Operators
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give estimates for the approximation numbers of composition operators on the Hp spaces, 1 ≤ p < ∞
Hans-Jürgen Schmeisser, Winfried Sickel (1989)
Banach Center Publications
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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...
D. Nikolić-Despotović (1976)
Matematički Vesnik
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J. Prasad (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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M. Mateljević, M. Pavlović (1982)
Matematički Vesnik
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B. Florkiewicz, A. Rybarski (1972)
Colloquium Mathematicae
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Wu, Changhong, Liu, Lanzhe (2006)
Lobachevskii Journal of Mathematics
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K. Hag, K. Astala, P. Hag, V. Lappalainen (1993)
Monatshefte für Mathematik
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Mostafa A. Nasr (1977)
Annales Polonici Mathematici
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Canqin Tang, Feien Xue, Yu Zhou (2011)
Annales Polonici Mathematici
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A sufficient condition for boundedness on Herz-type spaces of the commutator generated by a Lipschitz function and a weighted Hardy operator is obtained.