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Radial solutions of quasilinear equations in Orlicz-Sobolev type spaces
(ElsevierSan Diego, 2015-08)
This paper is devoted to prove the existence of a nontrivial nonnegative radial solution for the quasilinear elliptic equation [...] The function ϕ is allowed to belong to a larger class, which includes the special cases ...
Characterizations of the boundedness of generalized fractional maximal functions and related operators in Orlicz spaces
(Wiley VCH Verlag, 2017-01)
Given 0 <α< n and a Young function η, we consider the generalized fractional maximal operator Mα,η defined by Mα,η f (x) = sup Bx |B| α/n || f ||η,B, where the supremum is taken over every ball B contained in Rn . In this ...
EXISTENCE OF SOLUTIONS FOR UNILATERAL PROBLEMS WITH L1 DATA IN ORLICZ SPACES
(Universidad Católica del Norte, Departamento de Matemáticas, 2004)
Inequalities for one-sided operators in Orlicz spaces
(INMABB, 2013-12)
In this paper, we get strong type inequalities for one-sided maximal best ap- proximation operators M ± which are very related to one-sided Hardy-Littlewood maximal functions M±. In order to obtain our results, strong and ...
An Orlicz-space approach to superlinear elliptic systems
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2005)
Fractional order Orlicz-Sobolev spaces
(Academic Press Inc Elsevier Science, 2019-04)
In this paper we define the fractional order Orlicz-Sobolev spaces, and prove its convergence to the classical Orlicz-Sobolev spaces when the fractional parameter s↑1 in the spirit of the celebrated result of Bourgain-Br ...
Operadores maximales en espacios de Orlicz
(2004-03-25)
En este trabajo se determinan condiciones necesarias y suficientes entre las funciones que generean los espacios de Orlicz para obtener resultados de acotación de operadores en dichos espacios. Los ejemplos más importantes, ...
On operator ideals defined by a reflexive Orlicz sequence space
(Departamento de Matematicas, Universidad Catolica del Norte, 2006-01-01)
Classical theory of tensornorms and operator ideals studies mainly those defined by means of sequence spaces lp. Considering Orlicz sequence spaces as natural generalization of lp spaces, in a previous paper [12] an Orlicz ...
Extension of the Best Constant Approximation Operator in Orlicz Spaces
(Taylor & Francis, 2020-04)
In this article we deal with the best φ-approximation operator by constants extended from an Orlicz space Lφ(Ω) to the space Lψ+ (Ω) where ψ+ denotes the right derivative of the function φ. We obtain pointwise convergence ...
Asymptotic Behaviours in Fractional Orlicz–Sobolev Spaces on Carnot Groups
(Springer, 2020-03)
In this article, we define a class of fractional Orlicz–Sobolev spaces on Carnot groups, and in the spirit of the celebrated results of Bourgain–Brezis–Mironescu and of Maz’ya–Shaposhnikova, we study the asymptotic behaviour ...