Results 101 to 110 of about 4,293,985 (168)
Potential estimates in Orlicz spaces [PDF]
Pacific Journal of Mathematics, 1988 Using the capacity method, the author establishes inequalities useful in solving quasilinear Dirichlet problems of the form \[ (1-\Delta)^ mu=f(x,u)\quad in\quad \Omega \subset {\mathbb{R}}^ n,\quad u(x)=0\quad on\quad \partial \Omega, \] by means of topological methods. More precisely, he considers continuous even functions \(M_ 0\), M: \({\mathbb{R}}\
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Inclusions of Hardy Orlicz spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1986 Let ϕ be a continuous positive increasing function defined on [0, ∞) such that ϕ(x + y) ≤ ϕ(x) + ϕ(y) and ϕ(0) = 0. The Hardy‐Orlicz space generated by ϕ is denoted by H(ϕ). In this paper, we prove that for ϕ ≠ ψ, if H(ϕ) = H(ψ) as sets, then H(ϕ) = H(ψ) as topological vector spaces. Some other results are given.
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, 2003 The problem of strict convexity of the Besicovitch-Orlicz space of almost periodic functions is considered here in connection with the Orlicz norm.
Morsli, Mohamed, Bedouhene, Fazia
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On some vector valued sequence space using Orlicz function [PDF]
, 1999 In this paper, we introduced some new sequence space using Orlicz function and study some properties of this ...
Srivastava, P. D., Ghosh, D.
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Comparison of Orlicz-Lorentz spaces [PDF]
, 1992 Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. They have been studied by many authors, including Mastyło, Maligranda, and Kamińska.
J. Montgomery-Smith, S. +1 more
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Rearrangement and Convergence in Spaces of Measurable Functions
Journal of Inequalities and Applications, 2007 We prove that the convergence of a sequence of functions in the space L0 of measurable functions, with respect to the topology of convergence in measure, implies the convergence μ-almost everywhere (μ denotes the Lebesgue measure) of the sequence ...
A. Trombetta +2 more
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Fractional Orlicz-Sobolev Embedding
, 2022 The optimal Orlicz target space and the optimal rearrangement- invariant target space are exhibited for embeddings of fractional-order Orlicz-Sobolev spaces. Both the subcritical and the supercritical regimes are considered.
Angela Alberico
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Riesz angles of Orlicz sequence spaces [PDF]
, 2002 summary:We introduce some practical calculation of the Riesz angles in Orlicz sequence spaces equipped with Luxemburg norm and Orlicz norm. For an $N$-function $\Phi(u)$ whose index function is monotonous, the exact value $a(l^{(\Phi)})$ of the Orlicz ...
Yan, Ya Qiang
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A criterion of weak compactness for operators on subspaces of Orlicz spaces
Journal of Function Spaces and Applications, 2008 We give a criterion of weak compactness for the operators on the Morse-Transue space MΨ, the subspace of the Orlicz space LΨ generated by L∞.
Pascal Lefèvre +3 more
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Orlicz Spaces and Their Hyperbolic Composition Operators
MathematicsIn this paper, by extending some Lp-norm inequalities to similar inequalities for Orlicz space (LΦ-norm), we provide equivalent conditions for composition operators to have the shadowing property on the Orlicz space LΦ(μ).
Mohammed Said Al Ghafri +2 more
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