Results 81 to 90 of about 4,373 (230)

Monotonicities of Quasi-Normed Orlicz Spaces

Axioms
In this paper, we introduce a new Orlicz function, namely a b-Orlicz function, which is not necessarily convex. The Orlicz spaces LΦ generated by the b-Orlicz function Φ equipped with a Luxemburg quasi-norm contain both classical spaces Lp(p≥1) and Lp ...
Dong Ji, Yunan Cui
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𝑝-Carleson Measures for a Class of Hardy-Orlicz Spaces

International Journal of Mathematics and Mathematical Sciences, 2011
An alternative interpretation of a family of weighted Carleson measures is used to characterize 𝑝-Carleson measures for a class of Hardy-Orlicz spaces admitting a nice weak factorization.
Benoît Florent Sehba
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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

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}}\
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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.
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Quantitative estimates for perturbed sampling Kantorovich operators in Orlicz spaces

Demonstratio Mathematica
In the present work, we establish a quantitative estimate for the perturbed sampling Kantorovich operators in Orlicz spaces, in terms of the modulus of smoothness, defined by means of its modular functional.
Costarelli Danilo, De Angelis Eleonora, Vinti Gianluca   +2 more
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On Approximation by Linear Combinations of Modified Summation Operators of Integral Type in Orlicz Spaces

Mathematics, 2018
In this paper, the authors introduce the Orlicz spaces corresponding to the Young function and, by virtue of the equivalent theorem between the modified K-functional and modulus of smoothness, establish the direct, inverse, and equivalent theorems for ...
Ling-Xiong Han, Feng Qi
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 ...
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On monotone-like mappings in Orlicz-Sobolev spaces [PDF]

, 1999
Vesa Mustonen, Matti Tienari
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On noncommutative weak Orlicz–Hardy spaces [PDF]

, 2021
Turdebek N. Bekjan, Madi Raikhan
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