Results 61 to 70 of about 1,659 (229)
Potential trace inequalities via a Calderón‐type theorem
Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula +2 more
wiley +1 more source
Triple Solutions for Nonlinear (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff Type Equations
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
wiley +1 more source
Riesz angles of Orlicz sequence spaces [PDF]
summary:We introduce some practical calculation of the Riesz angles in Orlicz sequence spaces equipped with Luxemburg norm and Orlicz norm. For an $N$-function $\Phi(u)$ whose index function is monotonous, the exact value $a(l^{(\Phi)})$ of the Orlicz ...
Yan, Ya Qiang
core
Let X,d,μ be a metric measure space endowed with a metric d and a non-negative Borel doubling measure μ. Let L be a non-negative self-adjoint operator on L2X. Assume that the (heat) kernel associated to the semigroup e−tL satisfies a Gaussian upper bound.
Jiawei Shen, Shunchao Long, Yu-long Deng
doaj +1 more source
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
wiley +1 more source
Packing constant for Cesàro-Orlicz sequence spaces [PDF]
summary:The packing constant is an important and interesting geometric parameter of Banach spaces. Inspired by the packing constant for Orlicz sequence spaces, the main purpose of this paper is calculating the Kottman constant and the packing constant of
Ma, Zhen-Hua +2 more
core +1 more source
Approximative compactness and full rotundity in Musielak–Orlicz spaces and Lorentz–Orlicz spaces
We prove that approximative compactness of a Banach space X is equivalent to the conjunction of reflexivity and the Kadec–Klee property of X .
Hudzik, Henryk +2 more
openaire +3 more sources
Diagonal Window Tests for Deferred Weighted Frequent Cauchy Sequences and Mean Coherence
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
wiley +1 more source
The fixed point property in Musielak-Orlicz sequence spaces [PDF]
summary:In this paper, we give necessary and sufficient conditions for a point in a Musielak-Orlicz sequence space equipped with the Orlicz norm to be an {\bf H}-point.
Thompson, H. B. +3 more
core
Uniform non-squareness and property $(\beta )$ of Besicovitch-Orlicz spaces of almost periodic functions with Orlicz norm [PDF]
summary:We characterize the uniform non-squareness and the property $(\beta )$ of Besicovitch-Orlicz spaces of almost periodic functions equipped with Orlicz ...
Boulahia, Fatiha, Morsli, Mohamed
core +1 more source

