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Double Sequence Spaces by Means of Orlicz Functions [PDF]
Abstract and Applied Analysis, 2014 We define some classes of double entire and analytic sequences by means of Orlicz functions. We study some relevant algebraic and topological properties. Further some inclusion relations among the classes are also examined.
Abdullah Alotaibi +2 more
openaire +4 more sources
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
wiley +1 more source
Abstract and Applied Analysis, 2003 We prove, for Orlicz spaces LA(ℝN) such that A satisfies the Δ2 condition, the nonresolvability of the A-Laplacian equation ΔAu+h=0 on ℝN, where ∫h≠0, if ℝN is A-parabolic.
Noureddine Aïssaoui
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Characterizations for the Riesz potential and its commutators on generalized Orlicz-Morrey spaces
Journal of Inequalities and Applications, 2016 In the present paper, we shall give a characterization for the Spanne and Adams type boundedness of the Riesz potential and its commutators on the generalized Orlicz-Morrey spaces, respectively.
Fatih Deringoz +2 more
doaj +1 more source
Boyd indices of Orlicz-Lorentz spaces [PDF]
, 2011 The final version of this paper appears in: Jarosz, K., ed. "Function Spaces, The Second Conference." New York: Marcel Dekker, 1995. Print.Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces.
Montgomery-Smith, Stephen, 1963-
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Coarse and uniform embeddings between Orlicz sequence spaces
, 2013 We give an almost complete description of the coarse and uniform embeddability between Orlicz sequence spaces. We show that the embeddability between two Orlicz sequence spaces is in most cases determined only by the values of their upper Matuszewska ...
F Albiac +11 more
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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
wiley +1 more source
Monotonicities of Quasi-Normed Orlicz Spaces
AxiomsIn this paper, we introduce a new Orlicz function, namely a b-Orlicz function, which is not necessarily convex. The Orlicz spaces LΦ generated by the b-Orlicz function Φ equipped with a Luxemburg quasi-norm contain both classical spaces Lp(p≥1) and Lp ...
Dong Ji, Yunan Cui
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Contractive projections in Orlicz sequence spaces
Abstract and Applied Analysis, 2004 We characterize norm-one complemented subspaces of Orlicz sequence spaces ℓM equipped with either Luxemburg or Orlicz norm, provided that the Orlicz function M is sufficiently smooth and sufficiently different from the square function.
Beata Randrianantoanina
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Nonlinear parabolic problems in Musielak--Orlicz spaces [PDF]
, 2013 Our studies are directed to the existence of weak solutions to a parabolic problem containing a multi-valued term. The problem is formulated in the language of maximal monotone graphs.
Świerczewska-Gwiazda, Agnieszka
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