Results 21 to 30 of about 14,381 (242)
Extreme points in Orlicz spaces equipped with s‐norms and closedness
Mathematische Nachrichten, Volume 296, Issue 11, Page 5042-5062, November 2023., 2023 Abstract Let Φ be an Orlicz function and LΦ(X,Σ,μ)$L^\Phi (X, \Sigma , \mu )$ be the corresponding Orlicz space on a non‐atomic, σ‐finite, complete measure space (X,Σ,μ)$(X,\Sigma ,\mu )$. We describe the extreme points of unit ball of Orlicz spaces equipped with the s‐norm.
Esra Başar +3 more
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Capacities in Generalized Orlicz Spaces [PDF]
Journal of Function Spaces, 2018 In this paper basic properties of both Sobolev and relative capacities are studied in generalized Orlicz spaces. The capacities are compared with each other and the Hausdorff measure. As an application, the existence of quasicontinuous representative of generalized Orlicz functions is proved.
Debangana Baruah +3 more
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Communications on Pure and Applied Mathematics, Volume 76, Issue 10, Page 2693-2764, October 2023., 2023 Abstract We introduce a 1+1‐dimensional temperature‐dependent model such that the classical ballistic deposition model is recovered as its zero‐temperature limit. Its ∞‐temperature version, which we refer to as the 0‐Ballistic Deposition (0‐BD) model, is a randomly evolving interface which, surprisingly enough, does not belong to either the Edwards ...
Giuseppe Cannizzaro, Martin Hairer
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Strongly extreme points of Orlicz function spaces equipped with Φ-Amemiya norm
Journal of Inequalities and Applications, 2020 In this paper, the criterion that points of Orlicz function spaces equipped with Φ-Amemiya norm generated by an Orlicz function are strongly extreme is given.
Lili An, Yunan Cui
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Alzheimer biomarkers esteem by sampling Kantorovich algorithm
Mathematical Methods in the Applied Sciences, Volume 46, Issue 12, Page 13506-13520, August 2023., 2023 In this paper, we take advantage of the reconstruction properties of the sampling Kantorovich (SK) algorithm to estimate the volume of the human brain for the quantification of Alzheimer's biomarkers. At first, the goodness of the reconstructions is evaluated, comparing it to different interpolation methods by means of the Peak Signal to Noise Ratio ...
Danilo Costarelli +3 more
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Dual spaces to Orlicz–Lorentz spaces [PDF]
Studia Mathematica, 2014 25 ...
Karol Leśnik +2 more
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Asymptotically isometric copies of c_{0} in Musielak-Orlicz spaces [PDF]
Opuscula Mathematica, 2014 Criteria in order that a Musielak-Orlicz function space \(L^\Phi\) as well as Musielak-Orlicz sequence space \(l^\Phi\) contains an asymptotically isometric copy of \(c_0\) are given. These results extend some results of [Y.A. Cui, H. Hudzik, G. Lewicki,
Agata Narloch, Lucjan Szymaszkiewicz
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Characterization of generalized Orlicz spaces [PDF]
Communications in Contemporary Mathematics, 2018 The norm in classical Sobolev spaces can be expressed as a difference quotient. This expression can be used to generalize the space to the fractional smoothness case. Because the difference quotient is based on shifting the function, it cannot be used in generalized Orlicz spaces. In its place, we introduce a smoothed difference quotient and show that
Peter Hästö +3 more
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Uniform estimates with data from generalized Lebesgue spaces in periodic structures
Boundary Value Problems, 2021 We study various types of uniform Calderón–Zygmund estimates for weak solutions to elliptic equations in periodic homogenization. A global regularity is obtained with respect to the nonhomogeneous term from weighted Lebesgue spaces, Orlicz spaces, and ...
Yunsoo Jang
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Nonsquareness in Musielak-Orlicz-Bochner Function Spaces
Abstract and Applied Analysis, 2011 The criteria for nonsquareness in the classical Orlicz function spaces have been given already. However, because of the complication of Musielak-Orlicz-Bochner function spaces, at present the criteria for nonsquareness have not been discussed yet. In the
Shaoqiang Shang, Yunan Cui, Yongqiang Fu
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