Results 91 to 100 of about 12,193 (245)
Approximation results in Orlicz spaces by modified sampling Kantorovich operators
Demonstratio MathematicaThis paper deals with the modified sampling Kantorovich operators. We start by presenting the primary notations of Orlicz spaces and fundamental auxiliary results.
Turgay Metin
doaj +1 more source
Weyl's Law for the Steklov Problem on Surfaces with Rough Boundary. [PDF]
Arch Ration Mech Anal, 2023 Karpukhin M, Lagacé J, Polterovich I.
europepmc +1 more source
Embeddings into Orlicz spaces via the modified Riesz potential [PDF]
, 2015 Petteri Harjulehto +1 more
openalex +1 more source
Potential estimates in Orlicz spaces [PDF]
Pacific Journal of Mathematics, 1988 Using the capacity method, the author establishes inequalities useful in solving quasilinear Dirichlet problems of the form \[ (1-\Delta)^ mu=f(x,u)\quad in\quad \Omega \subset {\mathbb{R}}^ n,\quad u(x)=0\quad on\quad \partial \Omega, \] by means of topological methods. More precisely, he considers continuous even functions \(M_ 0\), M: \({\mathbb{R}}\
openaire +2 more sources
Rearrangement and Convergence in Spaces of Measurable Functions
Journal of Inequalities and Applications, 2007 We prove that the convergence of a sequence of functions in the space L0 of measurable functions, with respect to the topology of convergence in measure, implies the convergence μ-almost everywhere (μ denotes the Lebesgue measure) of the sequence ...
A. Trombetta +2 more
doaj +1 more source
Inclusions of Hardy Orlicz spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1986 Let ϕ be a continuous positive increasing function defined on [0, ∞) such that ϕ(x + y) ≤ ϕ(x) + ϕ(y) and ϕ(0) = 0. The Hardy‐Orlicz space generated by ϕ is denoted by H(ϕ). In this paper, we prove that for ϕ ≠ ψ, if H(ϕ) = H(ψ) as sets, then H(ϕ) = H(ψ) as topological vector spaces. Some other results are given.
openaire +3 more sources
A criterion of weak compactness for operators on subspaces of Orlicz spaces
Journal of Function Spaces and Applications, 2008 We give a criterion of weak compactness for the operators on the Morse-Transue space MΨ, the subspace of the Orlicz space LΨ generated by L∞.
Pascal Lefèvre +3 more
doaj +1 more source
Fractional integration in Orlicz spaces [PDF]
Proceedings of the American Mathematical Society, 1976 Fractional integration and convolution results are given for Orlicz spaces using an inequality earlier developed for Λ α ( X ) {\Lambda _\alpha }(X) spaces which generalize Lorentz L ( p , q ) L(p,q ...
openaire +2 more sources
Existence of monotonic $L_\varphi$-solutions for quadratic Volterra functional-integral equations
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We study the quadratic integral equation in the space of Orlicz space $E_{\varphi}$ in the most important case when $\varphi$ satisfies the $\Delta_2$-condition.
Mieczyslaw Cichon, Mohamed Metwali
doaj +1 more source