Results 201 to 210 of about 4,926,903 (245)
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Polyhedrality in Orlicz spaces
Israel Journal of Mathematics, 2008We present a construction of an Orlicz space admitting a C∞-smooth bump which depends locally on finitely many coordinates, and which is not isomorphic to a subspace of any C(K), K scattered. In view of the related results this space is possibly not isomorphic to a polyhedral space.
Hájek, P. (Petr Pavel), Johanis, M.
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Operators on Orlicz-slice spaces and Orlicz-slice Hardy spaces
Journal of Mathematical Analysis and Applications, 2021Abstract We establish the mapping properties of the singular integral operators, the Fourier integral operators and the geometric maximal operators on the Orlicz-slice spaces by using extrapolation. By extending the extrapolation theory to the Hardy Orlicz-slice spaces, we also obtain the mapping properties of the maximal Bochner-Riesz means, the ...
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Generalization of Orlicz spaces
Monatshefte für Mathematik, 2021Let $$\Phi $$ be a Young function and $${\mathcal {L}}^\Phi (\mu )$$ be an Orlicz space. For $$
Ali Ebadian, Ali Jabbari
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Convergence for a family of neural network operators in Orlicz spaces
, 2017In this paper, we develop the theory for a family of neural network (NN) operators of the Kantorovich type, in the general setting of Orlicz spaces. In particular, a modular convergence theorem is established.
D. Costarelli, G. Vinti
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Fractional maximal function and its commutators on Orlicz spaces
, 2018In this paper, we find necessary and sufficient conditions for the boundedness of fractional maximal operator $$M_{\alpha }$$Mα on Orlicz spaces. As an application of this results we consider the boundedness of fractional maximal commutator $$M_{b,\alpha
V. Guliyev, F. Deringoz, S. G. Hasanov
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2016
In this chapter, we consider associate spaces L Φ 1 of Orlicz spaces L Φ . Using the Legendre transform of an Orlicz function Φ, we define the conjugate Orlicz function Ψ just as the Legendre transform of Φ. We prove that the spaces L Φ 1 and L Ψ coincide as sets and \(\|\cdot \|_{\mathbf{L}_{\varPsi }} \leq \|\cdot \|_{\mathbf{L}_{\varPhi }^{1}} \leq ...
Genady Grabarnik+3 more
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In this chapter, we consider associate spaces L Φ 1 of Orlicz spaces L Φ . Using the Legendre transform of an Orlicz function Φ, we define the conjugate Orlicz function Ψ just as the Legendre transform of Φ. We prove that the spaces L Φ 1 and L Ψ coincide as sets and \(\|\cdot \|_{\mathbf{L}_{\varPsi }} \leq \|\cdot \|_{\mathbf{L}_{\varPhi }^{1}} \leq ...
Genady Grabarnik+3 more
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Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces
Springer Monographs in Mathematics, 2021Iwona Chlebicka+3 more
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2021
Now that the key properties of N-functions have been established, we are equipped with a basic toolkit for identifying related Musielak–Orlicz and Musielak–Orlicz–Sobolev spaces. Here we present a study of their properties.
Aneta Wróblewska-Kamińska+3 more
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Now that the key properties of N-functions have been established, we are equipped with a basic toolkit for identifying related Musielak–Orlicz and Musielak–Orlicz–Sobolev spaces. Here we present a study of their properties.
Aneta Wróblewska-Kamińska+3 more
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Disjoint Dynamics on Weighted Orlicz Spaces
Complex Analysis and Operator Theory, 2020Chung-chuan Chen+2 more
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