Results 51 to 60 of about 4,373 (230)
Stochastic integration with respect to cylindrical Lévy processes in Hilbert spaces
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract In this work, we present a comprehensive theory of stochastic integration with respect to arbitrary cylindrical Lévy processes in Hilbert spaces. As cylindrical Lévy processes do not enjoy a semimartingale decomposition, our approach relies on an alternative approach to stochastic integration by decoupled tangent sequences.
Gergely Bodó, Markus Riedle
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Lower Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces
AxiomsLower strict monotonicity points and lower local uniform monotonicity points are considered in the case of Musielak–Orlicz function spaces LΦ endowed with the Mazur–Orlicz F-norm.
Yanli Liu, Yangyang Xue, Yunan Cui
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Extreme Points in Orlicz Spaces Equipped with Snorm
Journal of Harbin University of Science and Technology, 2020 The extreme points and strongly extreme points are important contents of Banach space. In order to study the extreme points of Orlicz space equipped with snorm, some basic properties of the snorm are discussed firstly.
CUI Yunan, AN Lili, ZHAN Yujia
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The robust Orlicz risk with an application to the green photovoltaic power generation
Asian Journal of Control, Volume 27, Issue 4, Page 1655-1667, July 2025.Abstract We propose a novel recursive utility for controlling stochastic processes under risk and uncertainty. Our formulation uses a robustified Orlicz risk that can evaluate risk and uncertainty simultaneously. We focus on the control problem of a photovoltaic power generation system that supplies excess electricity for the secondary purpose of ...
Hidekazu Yoshioka, Motoh Tsujimura
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Orlicz spaces which areL p -spaces
Aequationes Mathematicae, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baron, Karol, Hudzig, Henryk
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Optimality of embeddings in Orlicz spaces
Mathematische Nachrichten, Volume 298, Issue 7, Page 2380-2400, July 2025.Abstract Working with function spaces in various branches of mathematical analysis introduces optimality problems, where the question of choosing a function space both accessible and expressive becomes a nontrivial exercise. A good middle ground is provided by Orlicz spaces, parameterized by a single Young function and thus accessible, yet expansive ...
Tomáš Beránek
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Kadec-Klee Property in Orlicz Function Spaces Equipped with S-Norms
Journal of Function Spaces, 2022 Using some new techniques, the necessary and sufficient conditions for Kadec-Klee property of Orlicz function spaces equipped with s-norms are presented.
Jiaqi Dong, Yunan Cui, Marek Wisła
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The De Giorgi method for local and nonlocal systems
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We extend the De Giorgi iteration technique to the vectorial setting. For this we replace the usual scalar truncation operator by a vectorial shortening operator. As an application, we prove local boundedness for local and nonlocal nonlinear systems.
Linus Behn +3 more
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Journal of Mathematical Analysis and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Astashkin, Sergey, Maligranda, Lech
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Global second‐order estimates in anisotropic elliptic problems
Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.Abstract This work deals with boundary value problems for second‐order nonlinear elliptic equations in divergence form, which emerge as Euler–Lagrange equations of integral functionals of the Calculus of Variations built upon possibly anisotropic norms of the gradient of trial functions.
Carlo Alberto Antonini +4 more
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