Results 1 to 10 of about 14,081 (237)
Uniform rotundity in every direction of Orlicz-Sobolev spaces [PDF]
Journal of Inequalities and Applications, 2016 In this paper, we study the extreme points and rotundity of Orlicz-Sobolev spaces. Analyzing and combining the properties of both Orlicz spaces and Sobolev spaces, we get the sufficient and necessary criteria for Orlicz-Sobolev spaces equipped with a ...
Fayun Cao, Rui Mao, Bing Wang
doaj +3 more sources
Approximation in weighted Orlicz spaces [PDF]
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.
Ramazan Akgün, Daniyal M. İsrafilov
openalex +5 more sources
Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces [PDF]
Journal of Inequalities and Applications, 2018 We introduce new classes of generalized Orlicz-Garling sequences and Orlicz-Lorentz sequences by using a sequence of Orlicz functions and difference operator.
Charu Sharma +3 more
doaj +2 more sources
Smoothness of the Orlicz Norm in Musielak-Orlicz Function Spaces [PDF]
Mathematische Nachrichten, 2014 In this paper, we present a characterization of support functionals and smooth points in , the Musielak–Orlicz space equipped with the Orlicz norm. As a result, criterion for the smoothness of is also obtained. Some expressions involving the norms of functionals in , the topological dual of , are proved for arbitrary Musielak–Orlicz functions.
Rui F. Vigelis, Charles C. Cavalcante
openalex +4 more sources
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}}\
Martin Schechter
openalex +3 more sources
Inclusion Properties of Orlicz and Weak Orlicz Spaces
Journal of Mathematical and Fundamental Sciences, 2016 This paper discusses the structure of Orlicz spaces and weak Orlicz spaces on ℝn. We obtain some necessary and sufficient conditions for the inclusion property of these spaces.
Al Azhary Masta +2 more
doaj +4 more sources
A note on conditional risk measures of Orlicz spaces and Orlicz-type modules [PDF]
, 2016 We consider conditional and dynamic risk measures of Orlicz spaces and study their robust representation. For this purpose, given a probability space $(\Omega,\mathcal{E},\mathbb{P})$, a sub-$\sigma$-algebra $\mathcal{F}$ of $\mathcal{E}$, and a Young ...
Orihuela, José, Zapata, José Miguel
core +2 more sources
Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces [PDF]
The Scientific World Journal, 2014 The notion of modular metric spaces being a natural generalization of classical modulars over linear spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently introduced.
N. Hussain, P. Salimi
doaj +2 more sources
New Hardy Spaces of Musielak–Orlicz Type and Boundedness of Sublinear Operators
Integral Equations and Operator Theory, 2013 We introduce a new class of Hardy spaces $H^{\varphi(\cdot,\cdot)}(\mathbb R^n)$, called Hardy spaces of Musielak-Orlicz type, which generalize the Hardy-Orlicz spaces of Janson and the weighted Hardy spaces of Garc\'ia-Cuerva, Str\"omberg, and ...
Luong Dang Ky
exaly +2 more sources
Infinite-Dimensional Input-to-State Stability and Orlicz Spaces [PDF]
SIAM Journal on Control and Optimization, 2018 Birgit Jacob +2 more
exaly +2 more sources