Results 91 to 100 of about 5,147,452 (212)

Some sequence spaces defined by Orlicz functions [PDF]

, 2004
summary:In this paper we introduce a new concept of $\lambda $-strong convergence with respect to an Orlicz function and examine some properties of the resulting sequence spaces.
Savaş, R., Savaş, E.
core   +1 more source

Monotonicity in Modular Function Spaces Equipped with O-norm

Journal of Harbin University of Science and Technology
Modular function spaces are extensions of Lebesgue spaces and Orlicz spaces. We introduce Orlicz norm in Modular function spaces, and study the monotonicity in modular function spaces equipped with O-norm and L-norm.
HU Xuemei, CUI Yunan
doaj   +1 more source

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
doaj   +1 more source

Characterizations for the Riesz potential and its commutators on generalized Orlicz-Morrey spaces

Journal of Inequalities and Applications, 2016
In the present paper, we shall give a characterization for the Spanne and Adams type boundedness of the Riesz potential and its commutators on the generalized Orlicz-Morrey spaces, respectively.
Fatih Deringoz, Vagif S Guliyev, Sabir G Hasanov   +2 more
doaj   +1 more source

On approximation by rational functions in Musielak–Orlicz spaces

Journal of Approximation Theory
The authors extend the results from [\textit{W. M. Kozlowski}, J. Approx. Theory 264, Article ID 105535, 14 p. (2021; Zbl 1462.41015); Appl. Set-Valued Anal. Optim. 4, No. 3, 337--348 (2022; \url{doi:10.23952/asvao.4.2022.3.07})] to the problem of best approximation by rational functions in a larger class of Musielak-Orlicz spaces of real-valued ...
Kozlowski WM, Vinti G
openaire   +4 more sources

Non-square points of Orlicz-Lorentz function spaces [PDF]

, 2019
In this paper, criteria for non-square points in Orlicz−Lorentz function spaces \(\Lambda_{\varphi, \omega}\) endowed with the Luxemburg norm are given. The widest possible classes of convex Orlicz functions and weight functions are admitted.
Kończak, Joanna
core   +1 more source

Anisotropic interpolation theorems of Musielak-Orlicz type

Journal of Inequalities and Applications, 2016
Anisotropy is a common attribute of Nature, which shows different characterizations in different directions of all or part of the physical or chemical properties of an object. The anisotropic property, in mathematics, can be expressed by a fairly general
Jinxia Li, Ruirui Sun, Baode Li
doaj   +1 more source

Compact composition operators on Hardy-Orlicz and Bergman-Orlicz spaces [PDF]

, 2010
We construct an analytic self-map ϕ of the unit disk and an Orlicz function Ψ for which the composition operator of symbol ϕ is compact on the Hardy-Orlicz space HΨ, but not on the Bergman-Orlicz space BΨ.
Rodriguez-Piazza, Luis, Daniel Li, Rodríguez Piazza, Luis, Queffélec, Hervé, Hervé Queffélec, Luis Rodríguez-piazza, Pascal Lefèvre, Lefèvre, Pascal, Li, Daniel   +8 more
core   +1 more source

Smooth points of the unit sphere in Musielak-Orlicz function spaces equipped with the Luxemburg norm [PDF]

, 1994
summary:There is given a criterion for an arbitrary element from the unit sphere of Musielak-Orlicz function space equipped with the Luxemburg norm to be a point of smoothness.
Zenon Zbaszyniak, Zbąszyniak, Zenon
core   +1 more source

Complex Convexity of Musielak-Orlicz Function Spaces Equipped with the p-Amemiya Norm

Abstract and Applied Analysis, 2014
The complex convexity of Musielak-Orlicz function spaces equipped with the p-Amemiya norm is mainly discussed.
Lili Chen, Yunan Cui, Yanfeng Zhao
doaj   +1 more source