Results 51 to 60 of about 400,575 (187)

Metrical Boundedness and Compactness of a New Operator between Some Spaces of Analytic Functions

open access: yesAxioms, 2023
The metrical boundedness and metrical compactness of a new operator from the weighted Bergman-Orlicz spaces to the weighted-type spaces and little weighted-type spaces of analytic functions are characterized.
Stevo Stević
doaj   +1 more source

Two properties of norms in Orlicz spaces

open access: yesLe Matematiche, 2001
A characterization of inclusion between L^p-spaces is well-known. Here we present an analogous characterization for Orlicz spaces. To this aim we use some definitions of Orlicz and Luxemburg norm that are a little bit general then usual. Also this allows
Andrea Caruso
doaj  

Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces

open access: yesThe 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   +1 more source

Weighted boundedness of the Hardy-Littlewood maximal and Calderón-Zygmund operators on Orlicz-Morrey and weak Orlicz-Morrey spaces [PDF]

open access: yesarXiv, 2021
For the Hardy-Littlewood maximal and Calder\'on-Zygmund operators, the weighted boundedness on the Lebesgue spaces are well known. We extend these to the Orlicz-Morrey spaces. Moreover, we prove the weighted boundedness on the weak Orlicz-Morrey spaces. To do this we show the weak-weak modular inequality.
arxiv  

On Orlicz Theory [PDF]

open access: yesarXiv, 2019
In this paper, based on concepts of convex sets and convex functions, we introduce new concepts of functions, Young functions, strong Young functions and Orlicz functions by relaxing definitions of functions, Young functions, strong Young functions, Orlicz functions respectively.
arxiv  

Characterization of the boundedness of generalized fractional integral and maximal operators on Orlicz-Morrey and weak Orlicz-Morrey spaces [PDF]

open access: yesarXiv, 2021
We give necessary and sufficient conditions for the boundedness of generalized fractional integral and maximal operators on Orlicz-Morrey and weak Orlicz-Morrey spaces. To do this we prove the weak-weak type modular inequality of the Hardy-Littlewood maximal operator with respect to the Young function. Orlicz-Morrey spaces contain $L^p$ spaces ($1\le p\
arxiv  

On Zweier generalized difference ideal convergent sequences in a locally convex space defined by Musielak-Orlicz function

open access: yesBoletim da Sociedade Paranaense de Matemática, 2017
Let $\mathbf{M}=(M_k)$ be a Musielak-Orlicz function. In this article, we introduce a new class of ideal convergent sequence spaces defined by Musielak-Orlicz function, using an infinite matrix, and a generalized difference matrix operator $B_{(i)}^{p}$
Bipan Hazarika, Karan Tamanag
doaj   +1 more source

Pointwise multipliers of Musielak--Orlicz spaces and factorization [PDF]

open access: yesarXiv, 2018
We prove that the space of pointwise multipliers between two distinct Musielak--Orlicz spaces is another Musielak-Orlicz space and the function defining it is given by an appropriately generalized Legendre transform. In particular, we obtain characterization of pointwise multipliers between Nakano spaces.
arxiv  

On noncommutative weak Orlicz-Hardy spaces [PDF]

open access: yesarXiv, 2021
We introduce noncommutative weak Orlicz spaces associated with a weight and study their properties. We also define noncommutative weak Orlicz-Hardy spaces and characterize their dual spaces.
arxiv  

𝑝-Carleson Measures for a Class of Hardy-Orlicz Spaces

open access: yesInternational 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

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