Results 31 to 40 of about 221 (175)
Uniformly Normal Structure of Orlicz Function Spaces Equipped with the p-Amemiya Norm
Journal of Harbin University of Science and TechnologyIn this paper, we mainly investigate the uniformly normal structure of Orlicz function spaces equipped with the p-Amemiya norm. A necessary and sufficient condition for Orlicz function spaces equipped with the p-Amemiya norm to have a uniformly normal
ZUO Mingxia, XU Zeyu
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Analytic norms in Orlicz spaces [PDF]
Proceedings of the American Mathematical Society, 2000 It is shown that an Orlicz sequence space h M h_M
Hájek, P., Troyanski, S.
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On Normed Algebras and the Generalized Maligranda–Orlicz Lemma
Symmetry, 2023 In this paper, we discuss some extensions of the Maligranda–Orlicz lemma. It deals with the problem of constructing a norm in a subspace of the space of bounded functions, for which it becomes a normed algebra so that the norm introduced is equivalent to the initial norm of the subspace.
Mieczyslaw Cichon, Kinga Cichon
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Empirical‐Process Limit Theory and Filter Approximation Bounds for Score‐Driven Time Series Models
Journal of Time Series Analysis, EarlyView.ABSTRACT This article examines the filtering and approximation‐theoretic properties of score‐driven time series models. Under specific Lipschitz‐type and tail conditions, new results are derived, leading to maximal and deviation inequalities for the filtering approximation error using empirical process theory.
Enzo D'Innocenzo
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Orlicz spaces equipped with s-norms
Journal of Mathematical Analysis and Applications, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Smoothness in Musielak-Orlicz spaces equipped with the Orlicz norm
Collectanea Mathematica, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hudzik, Henryk, Zbaszyniak, Z.
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 13324-13360, August 2026.ABSTRACT This paper proves the existence of nontrivial solution for two classes of quasilinear systems of the type −ΔΦ1u=Fu(x,u,v)+λRu(x,u,v)inΩ−ΔΦ2v=−Fv(x,u,v)−λRv(x,u,v)inΩu=v=0on∂Ω$$ \left\{\begin{array}{l}\hfill -{\Delta}_{\Phi_1}u={F}_u\left(x,u,v\right)+\lambda {R}_u\left(x,u,v\right)\kern0.1832424242424242em \mathrm{in}\kern0.3em \Omega ...
Lucas da Silva, Marco Souto
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Families of Young functions and limits of Orlicz norms
Canadian Mathematical Bulletin, 2023 AbstractGiven a $\sigma $ -finite measure space $(X,\mu )$ , a Young function $\Phi $ , and a one-parameter family of Young functions $\{\Psi _q\}$ , we find necessary and sufficient conditions for the associated Orlicz norms of any function $f\in L^\Phi (X,\mu )$ to satisfy $$\begin{align*}\lim_{q\rightarrow \infty}\|f\|_{L^{\Psi_q}(X,\mu)}=C ...
MacDonald, Sullivan F., Rodney, Scott
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Self‐improving property for certain degenerate functionals with generalized Orlicz growth
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract We investigate a self‐improving property of variational integrals in a weighted framework under generalized Orlicz growth conditions. Assuming that the weight belongs to an appropriate Muckenhoupt class and the growth function satisfies standard structural conditions, we prove that the gradient of any local quasi‐minimizer has local higher ...
Vertti Hietanen, Mikyoung Lee
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A Note on Sobolev‐Lorentz Capacity and Hausdorff Measure
Mathematische Nachrichten, Volume 299, Issue 7, Page 1540-1548, July 2026.ABSTRACT In this paper, we give an elementary proof that sets of zero p,1$p,1$‐Sobolev‐Lorentz capacity are Hn−p$\mathcal {H}^{n-p}$‐null sets, independently of nonlinear potential theory. We further show that there exists a set of Sobolev‐Lorentz‐(p,1)$(p,1)$ capacity equal to zero with Hausdorff dimension equal n−p$n-p$.
Daniel Campbell
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