Results 101 to 110 of about 5,147,452 (212)
Unconditional basic sequences in function spaces with applications to Orlicz spaces [PDF]
We find conditions on a function space that ensure that it behaves as an -space in the sense that any unconditional basis of a complemented subspace of either is equivalent to the unit vector system of or has a subbasis equivalent to a disjointly ...
Ansorena, José L. [0000-0002-4979-1080] +2 more
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Weyl's Law for the Steklov Problem on Surfaces with Rough Boundary. [PDF]
Arch Ration Mech Anal, 2023 Karpukhin M, Lagacé J, Polterovich I.
europepmc +1 more source
Admissible strategies in semimartingale portfolio selection [PDF]
The choice of admissible trading strategies in mathematical modelling of financial markets is a delicate issue, going back to Harrison and Kreps [HK79].
Sara Biagini, Ales Cerny
core
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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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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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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Nearly smooth points and near smoothness in Orlicz spaces [PDF]
, 1998 summary:Nearly smooth points and near smoothness in Orlicz spaces are characterized. It is worth to notice that in the nonatomic case smooth points and nearly smooth points are the same, but in the sequence case they ...
Tingfu, Wang, Lü, Yanming, Donghai, Ji
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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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