Results 71 to 80 of about 4,293,985 (168)
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 +3 more
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Composition operators on Bloch-Orlicz type Spaces of the unit Ball
四川大学学报. 自然科学版, 2018 Using Young’s functions, we define the Bloch-Orlicz space and show that the Bloch-Orlicz space is isometrically equal to a special certain -Bloch space. By the analysis methods and constructing test functions, we investigate the boundedness, compactness ...
HE Zhong-Hua, DENG Yi
doaj
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 +4 more
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Characterization of generalized Orlicz spaces [PDF]
, 2020 The norm in classical Sobolev spaces can be expressed as a difference quotient. This expression can be used to generalize the space to the fractional smoothness case. Because the difference quotient is based on shifting the function, it cannot be used in
Ferreira, Rita +2 more
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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 +4 more
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Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces
Journal of Inequalities and Applications, 2017 Let φ : R n × [ 0 , ∞ ) → [ 0 , ∞ ) $\varphi:\mathbb{R}^{n}\times[0, \infty) \to[0, \infty)$ satisfy that φ ( x , ⋅ ) $\varphi(x, \cdot)$ , for any given x ∈ R n $x\in\mathbb{R}^{n}$ , is an Orlicz function and φ ( ⋅ , t ) $\varphi(\cdot, t)$ is a ...
Bo Li, Minfeng Liao, Baode Li
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Approximation in weighted Orlicz spaces
Mathematica Slovaca, 2011 Abstract We prove some direct and converse theorems of trigonometric approximation in weighted Orlicz spaces with weights satisfying so called Muckenhoupt’s A p condition.
Akgün, Ramazan, İsrafilov, Daniyal M.
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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 +4 more
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A Note On The Defininiton of An Orlicz Space
Afyon Kocatepe University Journal of Sciences and Engineering, 2015 The Orlicz spaces were introduced by Z.W. Birnbaum and W. Orlicz in 1931 as a natural generalization of the classical Lebesgue spaces. For this generalization the function ݔ entering in the definition of Lebesgue's space is replaced by a more general convex function Ф.
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Matrix Freedman Inequality for Sub‐Weibull Martingales
Stat, Volume 14, Issue 4, December 2025.ABSTRACT In this paper, we establish a matrix Freedman inequality for martingales with sub‐Weibull tails. Under conditional ψα$$ {\psi}_{\alpha } $$ control of the increments, the top eigenvalue admits a non‐asymptotic tail bound with explicit, dimension‐aware constants.
Íñigo Torres
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