Results 21 to 30 of about 4,940,903 (262)
Transference and restriction of Fourier multipliers on Orlicz spaces
Mathematische Nachrichten, Volume 296, Issue 12, Page 5400-5425, December 2023., 2023 Abstract Let G be a locally compact abelian group with Haar measure mG$m_G$ and Φ1,Φ2$\Phi _1,\,\Phi _2$ be Young functions. A bounded measurable function m on G is called a Fourier (Φ1,Φ2)$(\Phi _1,\,\Phi _2)$‐multiplier if Tm(f)(γ)=∫Gm(x)f̂(x)γ(x)dmG(x),$$\begin{equation*}\hskip7pc T_m (f)(\gamma )= \int _{G} m(x) \hat{f}(x) \gamma (x) dm_G(x),\hskip-
Oscar Blasco, Rüya Üster
wiley +1 more source
Extreme points in Orlicz spaces equipped with s‐norms and closedness
Mathematische Nachrichten, Volume 296, Issue 11, Page 5042-5062, November 2023., 2023 Abstract Let Φ be an Orlicz function and LΦ(X,Σ,μ)$L^\Phi (X, \Sigma , \mu )$ be the corresponding Orlicz space on a non‐atomic, σ‐finite, complete measure space (X,Σ,μ)$(X,\Sigma ,\mu )$. We describe the extreme points of unit ball of Orlicz spaces equipped with the s‐norm.
Esra Başar +3 more
wiley +1 more source
Uniformly Nonsquare in Orlicz Space Equipped with the Mazur-Orlicz F-Norm
Journal of Function Spaces, 2021 The definition of uniformly nonsquareness in Banach spaces is extended to F-normed spaces. Most of the results from this paper concern (uniformly) nonsquareness in the sense of James or in the sense of Schäffer in Orlicz spaces equipped with the Mazur ...
Yunan Cui, Tongyu Wang
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Communications on Pure and Applied Mathematics, Volume 76, Issue 10, Page 2693-2764, October 2023., 2023 Abstract We introduce a 1+1‐dimensional temperature‐dependent model such that the classical ballistic deposition model is recovered as its zero‐temperature limit. Its ∞‐temperature version, which we refer to as the 0‐Ballistic Deposition (0‐BD) model, is a randomly evolving interface which, surprisingly enough, does not belong to either the Edwards ...
Giuseppe Cannizzaro, Martin Hairer
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Uniform rotundity in every direction of Orlicz-Sobolev spaces
Journal of Inequalities and Applications, 2016 In this paper, we study the extreme points and rotundity of Orlicz-Sobolev spaces. Analyzing and combining the properties of both Orlicz spaces and Sobolev spaces, we get the sufficient and necessary criteria for Orlicz-Sobolev spaces equipped with a ...
Fayun Cao, Rui Mao, Bing Wang
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Interpolation and harmonic majorants in big Hardy-Orlicz spaces [PDF]
, 2006 Free interpolation in Hardy spaces is caracterized by the well-known Carleson condition. The result extends to Hardy-Orlicz spaces contained in the scale of classical Hardy spaces $H^p$, $p>0$.
A. G. Naftalevič +16 more
core +5 more sources
Alzheimer biomarkers esteem by sampling Kantorovich algorithm
Mathematical Methods in the Applied Sciences, Volume 46, Issue 12, Page 13506-13520, August 2023., 2023 In this paper, we take advantage of the reconstruction properties of the sampling Kantorovich (SK) algorithm to estimate the volume of the human brain for the quantification of Alzheimer's biomarkers. At first, the goodness of the reconstructions is evaluated, comparing it to different interpolation methods by means of the Peak Signal to Noise Ratio ...
Danilo Costarelli +3 more
wiley +1 more source
Hypercyclicity of Composition Operators on Orlicz Function Spaces
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we discuss the hypercyclic properties of composition operators on Orlicz function spaces. We give some different conditions under which a composition operator on Orlicz spaces is hyper-cyclic or not. Similarly, multiplication operators are
Jafari F., Kamali Z.
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Sharp Rosenthal‐type inequalities for mixtures and log‐concave variables
Bulletin of the London Mathematical Society, Volume 55, Issue 3, Page 1222-1239, June 2023., 2023 Abstract We obtain Rosenthal‐type inequalities with sharp constants for moments of sums of independent random variables which are mixtures of a fixed distribution. We also identify extremizers in log‐concave settings when the moments of summands are individually constrained.
Giorgos Chasapis +2 more
wiley +1 more source
Demonstratio Mathematica, 2020 The existence of a.e. monotonic solutions for functional quadratic Hammerstein integral equations with the perturbation term is discussed in Orlicz spaces.
M. Metwali
semanticscholar +1 more source