Results 121 to 130 of about 7,160,171 (246)

Strongly nonlinear potential theory on metric spaces

open access: yesAbstract and Applied Analysis, 2002
We define Orlicz-Sobolev spaces on an arbitrary metric space with a Borel regular outer measure, and we develop a capacity theory based on these spaces. We study basic properties of capacity and several convergence results.
Noureddine Aïssaoui
doaj   +1 more source

Strictly Positive Functionals in Orlicz Spaces

open access: yes
In this short paper, we do prove how to define strictly positive functionals in dual pairs of Orlicz Spaces. These Orlicz Spaces are endowed with the pointwise partial ordering. The Young functions that imply the definition of these dual pairs is significant for the difference between them.
openaire   +1 more source

Some sigma-double sequence spaces defined by Orlicz function

open access: yes, 2006
In this paper we introduce some new double sequence spaces using the notions of invariant mean and Orlicz function.
Patterson, Richard F., Savas, Ekrem
core   +1 more source

Strict convexity of sequence Orlicz-Musielak spaces with Orlicz norm

open access: yes, 1983
H. Milnes gave in (Pacific J. Math. 18 (1957), 1451–1483) a criterion for strict convexity of Orlicz spaces with respect to the so called Orlicz norm, in the case of nonatomic measure and a usual Young function.
Kamińska, A.
core   +1 more source

A Characterization of Riesz Potential and Its Commutator in Local Complementary Generalized Orlicz–Morrey Spaces

open access: yesJournal of Function Spaces
In this paper, we find sufficient conditions on functions ω1, ω2 which ensure the boundedness of Riesz potentials and their commutators with BMO functions from one local complementary generalized Orlicz–Morrey spaces M ∁Φ,ω1x0ℝn to the spaces M ∁Ψ,ω2x0ℝn
C. Aykol, J. Hasanov, A. Serbetci
semanticscholar   +1 more source

On the uniformly normal structure of Orlicz spaces with Orlicz norm [PDF]

open access: yes, 1993
summary:We prove that in Orlicz spaces endowed with Orlicz norm the uniformly normal structure is equivalent to the ...
Wang, Tingfu, Shi, Zhongrui
core  

Nearly smooth points and near smoothness in Orlicz spaces [PDF]

open access: yes, 1998
summary:Nearly smooth points and near smoothness in Orlicz spaces are characterized. It is worth to notice that in the nonatomic case smooth points and nearly smooth points are the same, but in the sequence case they ...
Tingfu, Wang, Lü, Yanming, Donghai, Ji
core  

Some Generalized Difference Sequence Spaces Defined by Ideal Convergence and Musielak-Orlicz Function

open access: yesAbstract and Applied Analysis, 2013
In the present paper we introduced the ideal convergence of generalized difference sequence spaces combining de La Vallée-Poussin mean and Musielak-Orlicz function over n-normed spaces.
Awad A. Bakery   +2 more
doaj   +1 more source

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