Results 71 to 80 of about 5,398,923 (220)

Solvability of Generalized Hilfer Fractional p-Laplacian Differential Problems in Orlicz Spaces

Fractal and Fractional
This paper investigates non-fractional operators, a type of nonlocal operator, within the framework of Orlicz spaces. Using inclusions between certain function spaces, we prove the continuity and/or compactness of generalized operators in Orlicz spaces ...
Mieczysław Cichoń, Masouda M. A. Al-Fadel, Hussein A. H. Salem   +2 more
doaj   +1 more source

Kadec-Klee Properties of Calderón-Lozanovskiĭ Function Spaces

Journal of Function Spaces and Applications, 2012
We study Kadec-Klee properties with respect to global (local) convergence in measure. First, we present some results concerning Köthe spaces and Orlicz functions.
Paweł Kolwicz
doaj   +1 more source

Triple Solutions for Nonlinear (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff Type Equations

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this manuscript, we study a (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff equation involving a continuous positive potential that satisfies del Pino–Felmer type conditions: K1∫ℝN11/μ1z∇ψμ1z dz+∫ℝN/μ1zVzψμ1z dz−Δμ1·ψ+Vzψμ1z−2ψ+K2∫ℝN11/μ2z∇ψμ2z dz+∫ℝN/μ2zVzψμ2z dz−Δμ2·ψ+Vzψμ2z−2ψ=ξ1θ1z,ψ+ξ2θ2z,ψ inℝN, where K1 and K2 are Kirchhoff functions, Vz is a ...
Ahmed AHMED, Moussa Ahmed Salem ATIGH, Mohamed Saad Bouh ELEMINE VALL, Calogero Vetro   +3 more
wiley   +1 more source

Smooth points of the unit sphere in Musielak-Orlicz function spaces equipped with the Luxemburg norm [PDF]

, 1994
summary:There is given a criterion for an arbitrary element from the unit sphere of Musielak-Orlicz function space equipped with the Luxemburg norm to be a point of smoothness.
Zenon Zbaszyniak, Zbąszyniak, Zenon
core  

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

Analysis 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, Cao Jun, Ky Luong Dang, Yang Dachun, Yang Sibei   +4 more
doaj   +1 more source

Wijsman Statistical, Strong Cesàro, and Ideal Convergence of Closed Sets in Idempotent Bicomplex Metric Spaces

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper studies generalized Wijsman convergence for sequences of nonempty closed subsets of an idempotent bicomplex metric space. Let ρ = d1e1 + d2e2, where d1 and d2 are metrics on the same underlying set X. For a nonempty subset A of X, we define the bicomplex point‐to‐set distance by ρ(x, A) = d1(x, A)e1 + d2(x, A)e2.
Ameni Gargouri, Mehmet Gürdal, Ömer Kişi, Abdelwaheb Mhemdi, Maria Alessandra Ragusa   +4 more
wiley   +1 more source

Locally Nearly Uniformly Convex Points in Orlicz Spaces Equipped with the Luxemburg Norm

Axioms
This research explores two novel geometric concepts—nearly convex points and locally nearly uniformly convex points within the frameworks of Banach spaces and Orlicz spaces equipped with the Luxemburg norm.
Yunan Cui, Xiaoxia Wang, Yaoming Niu
doaj   +1 more source

Analytic and Statistical Convergence Properties in Multiplicative Metric Spaces: A Logarithmic Perspective

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we revisit the structure of multiplicative metric spaces and investigate analytic notions such as convergence, Cauchy sequences, boundedness, and density within this framework. We extend these concepts to their statistical counterparts, including statistical convergence, statistical Cauchy sequences, statistical boundedness, and ...
Listán García María C, Ömer Kişi, Mehmet Gürdal, Selim Çetin, Pramita Mishra   +4 more
wiley   +1 more source

Orlicz Mean Dual Affine Quermassintegrals [PDF]

, 2018
Our main aim is to generalize the mean dual affine quermassintegrals to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the first Orlicz variation of the mean dual ...
Zhao, C, Cheung, WS, Chang-Jian Zhao, Wing-Sum Cheung   +3 more
core   +1 more source

Diagonal Window Tests for Deferred Weighted Frequent Cauchy Sequences and Mean Coherence

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper studies when a diagonal pairwise sampling condition of pre‐Cauchy type can be upgraded to a genuine convergence criterion in the deferred weighted setting. Working with the window system determined by (λ, μ), we introduce a diagonal pairwise framework and compare it with the corresponding two‐parameter Pringsheim measure on N×N.
Ameni Gargouri, Mehmet Gürdal, Ömer Kişi, Abdelwaheb Mhemdi, Smritijit Sen   +4 more
wiley   +1 more source