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Some new properties of composition operators associated with lens maps [PDF]
, 2012 We give examples of results on composition operators connected with lens maps. The first two concern the approximation numbers of those operators acting on the usual Hardy space $H^2$.
Lefèvre, Pascal +3 more
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Analytic norms in Orlicz spaces [PDF]
Proceedings of the American Mathematical Society, 2000 The authors prove that an Orlicz sequence space \(h_M\) admits an equivalent analytic norm if and only if \(h_M \backsimeq \ell _{2n},\) for some \( n\in \mathbb N,\) or \(h_M\) is isomorphically polyhedral. In particular, if \(\lim _{t\to 0} M(2t)/M(t) =\infty\) then \(h_M\) admits an equivalent analytic norm.
Hájek, P., Troyanski, S.
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Compact composition operators on Bergman-Orlicz spaces [PDF]
, 2010 We construct an analytic self-map $\phi$ of the unit disk and an Orlicz function $\Psi$ for which the composition operator of symbol $\phi$ is compact on the Hardy-Orlicz space $H^\Psi$, but not compact on the Bergman-Orlicz space ${\mathfrak B}^\Psi ...
Lefèvre, Pascal +3 more
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Boundedness characterization of composite operator with Orlicz–Lipschitz norm and Orlicz-BMO norm
Annals of Functional Analysis, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Niu, Jinling, Li, Xuexin, Xing, Yuming
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On the Riesz potential and its commutators on generalized Orlicz-Morrey spaces [PDF]
, 2013 We consider generalized Orlicz-Morrey spaces $M_{\Phi,\varphi}(\Rn)$ including their weak versions $WM_{\Phi,\varphi}(\Rn)$. In these spaces we prove the boundedness of the Riesz potential from $M_{\Phi,\varphi_1}(\Rn)$ to $M_{\Psi,\varphi_2}(\Rn)$ and ...
Deringoz, Fatih, Guliyev, Vagif S.
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The Bernstein–Orlicz norm and deviation inequalities [PDF]
Probability Theory and Related Fields, 2012 We introduce two new concepts designed for the study of empirical processes. First, we introduce a new Orlicz norm which we call the Bernstein-Orlicz norm. This new norm interpolates sub-Gaussian and sub-exponential tail behavior. In particular, we show how this norm can be used to simplify the derivation of deviation inequalities for suprema of ...
van de Geer Sara, Lederer Johannes
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Kadec-klee Property in Musielak-Orlicz of Sequence Space Equipped with p-Amemiya Norm
Journal of Harbin University of Science and Technology, 2021 As we known, H property is a imp01tant property in theory of Banach spaces. It closly connects with the approximation compactness and fixed point prope1ty of nonexpansive mapping. ln this paper, we give necessai-y and sufficient conditions for a point in
ZHAO Li, CUI Yun-an
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On the (k-β) Points of Musielak-Orlicz Sequence Spaces Equipped with the Orlicz Norm
Journal of Harbin University of Science and Technology, 2019 MusielakOrlicz spaces is the generalization of classical Orlicz spaces In this paper, we investigated the problem of characterization of the (kβ) points in Musielak Orlicz sequence spaces equipped with the Orlicz norm Firstly, the definition of (kβ ...
ZUO Ming-xia, LIU Hong-jiao
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Uniformly Nonsquare in Orlicz Space Equipped with the Mazur-Orlicz F-Norm
Journal of Function Spaces, 2021 The definition of uniformly nonsquareness in Banach spaces is extended to F-normed spaces. Most of the results from this paper concern (uniformly) nonsquareness in the sense of James or in the sense of Schäffer in Orlicz spaces equipped with the Mazur ...
Yunan Cui, Tongyu Wang
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M-constants in Orlicz Spaces Equipped with the Luxemburg Norm
Journal of Harbin University of Science and Technology, 2022 Riesz angle μ2(x)is an important geometric constant in Banach lattice spaces, which is closely related to the fixed point properties of spaces. In this paper, the M-constants of Orlicz function spaces and Orlicz sequence spaces equipped with Luxemburg ...
WANG Zi-xuan, CUI Yun-an, WANG Jing
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