Results 81 to 90 of about 344 (181)
Weyl's Law for the Steklov Problem on Surfaces with Rough Boundary. [PDF]
Arch Ration Mech Anal, 2023 Karpukhin M, Lagacé J, Polterovich I.
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Strongly Extreme Points in Orlicz Function Spaces
Journal of Mathematical Analysis and Applications, 1995 For any Orlicz function \(\Phi\) and any \(\sigma\)-finite atomless measure \(\mu\), the authors give a criterion for \(x\) from the unit sphere of the Orlicz space \(L^ \Phi(\mu)\), equipped with the Luxemburg norm, to be strongly extreme. Further, they characterize Orlicz spaces \(L^ \Phi(\mu)\) which are isometric to \(L^ \infty(\mu)\).
Hudzik, H., Kurc, W., Wisla, M.
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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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On one class of Orlicz functions
, 2020 Answering to a recent question raised by Leśnik, Maligranda, and Tomaszewski, we prove that there is an Orlicz function $Φ$ with the upper Matuszewska-Orlicz index equal to $1$ such that the Orlicz space $L_Φ$ does not satisfy Dunford-Pettis criterion of weak compactness.
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Strongly Exposed Points of Orlicz Sequence Spaces Equipped with the p-Amemiya Norm
AxiomsUsing some new techniques, criteria for strongly exposed points of Orlicz sequence spaces generated by arbitrary Orlicz function and equipped with the p-Amemiya (1
Xiaoyan Li, Yunan Cui
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Moduli and Characteristics of Monotonicity in Some Banach Lattices
Fixed Point Theory and Applications, 2010 First the characteristic of monotonicity of any Banach lattice X is expressed in terms of the left limit of the modulus of monotonicity of X at the point 1.
Miroslav Krbec +3 more
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Strongly nonlinear potential theory on metric spaces
Abstract and Applied Analysis, 2002 We define Orlicz-Sobolev spaces on an arbitrary metric space with a Borel regular outer measure, and we develop a capacity theory based on these spaces. We study basic properties of capacity and several convergence results.
Noureddine Aïssaoui
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Strictly Positive Functionals in Orlicz Spaces
In this short paper, we do prove how to define strictly positive functionals in dual pairs of Orlicz Spaces. These Orlicz Spaces are endowed with the pointwise partial ordering. The Young functions that imply the definition of these dual pairs is significant for the difference between them.
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An Orlicz-Besov Poincaré Inequality via John Domains
Journal of Function Spaces, 2019 Denote by B˙⁎α,ϕ(Ω) the intrinsic Orlicz-Besov space, where α∈R, ϕ is a Young function, and Ω⊂Rn is a domain. For α∈(-n,0) and optimal ϕ, via John domains, we establish criteria for bounded domains Ω⊂Rn supporting an Orlicz-Besov Poincaré inequality.
Hongyan Sun
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CONJUGATE FUNCTIONS IN ORLICZ SPACES [PDF]
Pacific Journal of Mathematics, 1962 openaire +4 more sources