Results 101 to 110 of about 4,655,315 (283)
The exact values of nonsquare constants for a class of Orlicz spaces [PDF]
Opuscula Mathematica, 2005 We extend the \(M_{\triangle}\)-condition from [Han J.,Li X.: On Exact Value of Packing for a Class of Orlicz Spaces. (Chinese), Journal of Tongji Univ. 30 (2002) 7, 895–899] and introduce the \(\Phi_{\triangle}\)-condition at zero.
Jincai Wang
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Parabolic inequalities in inhomogeneous Orlicz-Sobolev spaces with gradients constraints and L1-data
Moroccan Journal of Pure and Applied Analysis, 2022 This work is devoted to the study of a new class of parabolic problems in inhomogeneous Orlicz spaces with gradient constraints and L1-data. One proves the existence of the solution by studying the asymptotic behaviour as p goes to ∞, of a sequence of ...
Ajagjal Sana
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Minimizers of abstract generalized Orlicz‐bounded variation energy
Mathematical Methods in the Applied Sciences, Volume 47, Issue 15, Page 11795-11809, October 2024.A way to measure the lower growth rate of φ:Ω×[0,∞)→[0,∞)$$ \varphi :\Omega \times \left[0,\infty \right)\to \left[0,\infty \right) $$ is to require t↦φ(x,t)t−r$$ t\mapsto \varphi \left(x,t\right){t}^{-r} $$ to be increasing in (0,∞)$$ \left(0,\infty \right) $$.
Michela Eleuteri +2 more
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On the convexity coefficient of Orlicz spaces [PDF]
Mathematische Zeitschrift, 1988 Let (T,\(\Sigma\),\(\mu)\) be a non-atomic measure space, let \(\phi\) : \(R\to (0,\infty)\) be an Orlicz function, and for \(\Sigma\)-measurable real function f on T, let \(I_{\phi}(\nu f)=\int_{T}\phi (\nu f(t))d\mu (t)\). Then \(L^{\phi}(\mu)\) denotes \(\{\) \(f: I_{\phi}(\nu f)0\}\), and \(\| f\|_{\phi}=\{a>0:\) \(I_{\phi}(f/a)\leq 1\}\).
Hudzik, H., Kaminska, A., Musielak, J.
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Distortion risk measures: Prudence, coherence, and the expected shortfall
Mathematical Finance, Volume 34, Issue 4, Page 1291-1327, October 2024.Abstract Distortion risk measures (DRM) are risk measures that are law invariant and comonotonic additive. The present paper is an extensive inquiry into this class of risk measures in light of new ideas such as qualitative robustness, prudence and no reward for concentration, and tail relevance.
Massimiliano Amarante +1 more
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A revised condition for harmonic analysis in generalized Orlicz spaces on unbounded domains
Mathematische Nachrichten, Volume 297, Issue 9, Page 3184-3191, September 2024.Abstract Conditions for harmonic analysis in generalized Orlicz spaces have been studied over the past decade. One approach involves the generalized inverse of so‐called weak Φ$\Phi$‐functions. It featured prominently in the monograph Orlicz Spaces and Generalized Orlicz Spaces [P. Harjulehto and P. Hästö, Lecture Notes in Mathematics, vol.
Petteri Harjulehto +2 more
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Two properties of norms in Orlicz spaces
Le Matematiche, 2001 A characterization of inclusion between L^p-spaces is well-known. Here we present an analogous characterization for Orlicz spaces. To this aim we use some definitions of Orlicz and Luxemburg norm that are a little bit general then usual. Also this allows
Andrea Caruso
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Numerical study of the Amick–Schonbek system
Studies in Applied Mathematics, Volume 153, Issue 1, July 2024.Abstract The aim of this paper is to present a survey and a detailed numerical study on a remarkable Boussinesq system describing weakly nonlinear, long surface water waves. In the one‐dimensional case, this system can be viewed as a dispersive perturbation of the hyperbolic Saint‐Venant (shallow water) system.
Christian Klein, Jean‐Claude Saut
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Stability estimates for the Vlasov–Poisson system in p$p$‐kinetic Wasserstein distances
Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2250-2267, July 2024.Abstract We extend Loeper's L2$L^2$‐estimate (Theorem 2.9 in J. Math. Pures Appl. (9) 86 (2006), no. 1, 68–79) relating the force fields to the densities for the Vlasov–Poisson system to Lp$L^p$, with 1
Mikaela Iacobelli, Jonathan Junné
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A Continuous Basis for Orlicz Spaces [PDF]
Proceedings of the American Mathematical Society, 1969 1. In 1910 Haar created the orthonormal system that bears his name in order to show that there are ON systems with respect to which the Fourier series of each continuous function converges uniformly to the function. The Haar functions are themselves discontinuous, however, and this led Franklin to construct a continuous ON set that plays the same role.
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