Results 11 to 20 of about 4,940,903 (262)
GENERALIZED ORLICZ SEQUENCE SPACES [PDF]
Barekeng, 2023 Orlicz spaces were first introduced by Z. W. Birnbaum and W. Orlicz as an extension of Labesgue space in 1931. There are two types of Orlicz spaces, namely continuous Orlicz spaces and Orlicz sequence spaces.
Cece Kustiawan +5 more
doaj +3 more sources
Duality and stable compactness in Orlicz-type modules [PDF]
Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 118, 18
(2024), 2016 Orlicz-type modules are module analogues of classical Orlicz spaces. We study duality and stable compactness in Orlicz-type modules. We characterize the conditional K\"{o}the dual of an Orlicz-type module as the space of all $\sigma$-order continuous module homomorphisms.
Orihuela, José, Zapata, José Miguel
arxiv +3 more sources
Monotonicities in Orlicz Spaces Equipped with Mazur-Orlicz F-Norm
Journal of Function Spaces, 2020 Some basic properties in Orlicz spaces and Orlicz sequence spaces that are generated by monotone function equipped with the Mazur-Orlicz F-norm are studied in this paper. We give some relationships between the modulus and the Mazur-Orlicz F-norm.
Xinran Bai, Yunan Cui, Joanna Kończak
semanticscholar +2 more sources
Boyd Indices of Orlicz-Lorentz Space [PDF]
Function Spaces, The Second Conference, Ed.: K. Jarosz, 321-334,
Marcel Dekker, 1995, 1994 Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. In this paper, we investigate their Boyd indices. Bounds on the Boyd indices in terms of the Matuszewska-Orlicz indices of the defining functions are given. Also, we give an example to show that the Boyd indices and Zippin indices of an Orlicz-Lorentz space need ...
Stephen Montgomery-Smith
openalex +3 more sources
Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces. [PDF]
J Inequal Appl, 2018 We introduce new classes of generalized Orlicz-Garling sequences and Orlicz-Lorentz sequences by using a sequence of Orlicz functions and difference operator.
Sharma C +3 more
europepmc +2 more sources
Fractional operators and their commutators on generalized Orlicz spaces [PDF]
Opuscula Mathematica, 2022 In this paper we examine boundedness of fractional maximal operator. The main focus is on commutators and maximal commutators on generalized Orlicz spaces (also known as Musielak-Orlicz spaces) for fractional maximal functions and Riesz potentials.
Arttu Karppinen
doaj +1 more source
Sharp estimates for conditionally centered moments and for compact operators on Lp$L^p$ spaces
Mathematische Nachrichten, Volume 296, Issue 1, Page 368-381, January 2023., 2023 Abstract Let (Ω,F,P)$(\Omega , \mathcal {F}, \mathbf {P})$ be a probability space, ξ be a random variable on (Ω,F,P)$(\Omega , \mathcal {F}, \mathbf {P})$, G$\mathcal {G}$ be a sub‐σ‐algebra of F$\mathcal {F}$, and let EG=E(·|G)$\mathbf {E}^\mathcal {G} = \mathbf { E}(\cdot | \mathcal {G})$ be the corresponding conditional expectation operator.
Eugene Shargorodsky, Teo Sharia
wiley +1 more source
Inclusion Properties of Henstock-Orlicz Spaces
JTAM (Jurnal Teori dan Aplikasi Matematika), 2022 Henstock-Orlicz spaces were generally introduced by Hazarika and Kalita in 2021. In general, a function is Lebesgue integral if only if that function and its modulus are Henstock-Kurzweil integrable functions.
Elin Herlinawati
doaj +1 more source
Upper Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces
Axioms, 2023 In this paper, the necessary and sufficient conditions for the upper strict monotonicity point and the upper local uniform monotonicity point are given in the case of Musielak–Orlicz spaces equipped with the Mazur–Orlicz F-norm.
Yanli Liu, Yangyang Xue, Yunan Cui
doaj +1 more source
Implicit contractive mappings in modular metric and fuzzy metric spaces. [PDF]
ScientificWorldJournal, 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.
Hussain N, Salimi P.
europepmc +2 more sources