Results 41 to 50 of about 4,657,157 (233)

Multiplicity results for logarithmic double phase problems via Morse theory

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract In this paper, we study elliptic equations of the form −divL(u)=f(x,u)inΩ,u=0on∂Ω,$$\begin{align*} -\operatorname{div}\mathcal {L}(u)=f(x,u)\quad \text{in }\Omega, \quad u=0 \quad \text{on } \partial \Omega, \end{align*}$$where divL$\operatorname{div}\mathcal {L}$ is the logarithmic double phase operator given by div|∇u|p−2∇u+μ(x)|∇u|q(e+|∇u ...
Vicenţiu D. Rădulescu   +2 more
wiley   +1 more source

Carleson Measure Theorems for Large Hardy-Orlicz and Bergman-Orlicz Spaces

open access: yesJournal of Function Spaces and Applications, 2012
We characterize those measures μ for which the Hardy-Orlicz (resp., weighted Bergman-Orlicz) space HΨ1 (resp., AαΨ1) of the unit ball of CN embeds boundedly or compactly into the Orlicz space LΨ2(BN¯,μ) (resp., LΨ2(BN,μ)), when the defining functions Ψ1 ...
Stéphane Charpentier, Benoît Sehba
doaj   +1 more source

Characterization of Entire Sequences via Double Orlicz Space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
Let Γ denote the space of all entire sequences and ∧ the space of all analytic sequences. This paper is a study of the characterization and general properties of entire sequences via double Orlicz space of ΓM2 of Γ2 establishing some inclusion relations.
N. Subramanian   +2 more
semanticscholar   +1 more source

Volterra-type operators from F(p,q,s) space to Bloch-Orlicz and Zygmund-Orlicz spaces

open access: yesFilomat, 2020
In this paper, we discussed the equivalent conditions for the boundedness and compactness of several Volterra-type operators acting from general F(p,q,s) space to Bloch-Orlicz and Zygmund-Orlicz spaces.
Yu-Xia Liang   +2 more
semanticscholar   +1 more source

Superlinear perturbations of a double‐phase eigenvalue problem

open access: yesTransactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We consider a perturbed version of an eigenvalue problem for the double‐phase operator. The perturbation is superlinear, but need not satisfy the Ambrosetti–Robinowitz condition. Working on the Sobolev–Orlicz space W01,η(Ω)$ W^{1,\eta }_{0}(\Omega)$ with η(z,t)=α(z)tp+tq$ \eta (z,t)=\alpha (z)t^{p}+t^{q}$ for 1
Yunru Bai   +2 more
wiley   +1 more source

Musielak-Orlicz-Hardy Spaces Associated with Operators Satisfying Reinforced Off-Diagonal Estimates

open access: yesAnalysis and Geometry in Metric Spaces, 2013
Let X be a metric space with doubling measure and L a one-to-one operator of type ω having a bounded H∞ -functional calculus in L2(X) satisfying the reinforced (pL; qL) off-diagonal estimates on balls, where pL ∊ [1; 2) and qL ∊ (2;∞]. Let φ : X × [0;∞) →
Bui The Anh   +4 more
doaj   +1 more source

Multiplication Operators on Orlicz Generalized Difference (sss)

open access: yesJournal of Function Spaces, 2020
In this article, we inspect the sufficient conditions on the Orlicz generalized difference sequence space to be premodular Banach (sss). We look at some topological and geometrical structures of the multiplication operators described on Orlicz ...
Awad A. Bakery, OM Kalthum S. K. Mohamed
doaj   +1 more source

The Dual Orlicz–Aleksandrov–Fenchel Inequality

open access: yesMathematics, 2020
In this paper, the classical dual mixed volume of star bodies V˜(K1,⋯,Kn) and dual Aleksandrov–Fenchel inequality are extended to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we put forward a new affine geometric quantity ...
Chang-Jian Zhao
doaj   +1 more source

A New Generalization of Bivariate Sampling Kantorovich Operators and Applications to Image Processing

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15413-15432, 15 November 2025.
ABSTRACT In this paper, we introduce bivariate modified sampling Kantorovich operators, which extend the classical sampling Kantorovich operators by incorporating a transformation function ρ$$ \rho $$. The paper begins by presenting essential definitions, including to introduce new bivariate weighted modulus of continuity, and its fundamental ...
Metin Turgay, Tuncer Acar
wiley   +1 more source

Strongly Extreme Points and Middle Point Locally Uniformly Convex in Orlicz Spaces Equipped with s-Norm

open access: yesJournal of Function Spaces, 2019
As is well known, the extreme points and strongly extreme points play important roles in Banach spaces. In this paper, the criterion for strongly extreme points in Orlicz spaces equipped with s-norm is given.
Yunan Cui, Yujia Zhan
doaj   +1 more source

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