Results 181 to 190 of about 692,591 (225)

DOUBLE SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS

2007
In this paper we introduce some new double sequence spaces using the Orlicz function andexamine some properties of the resulting sequence spaces.
Savaş, Ekrem, Patterson, Richard F.
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Kadec-Klee property in Musielak-Orlicz function spaces equipped with the Orlicz norm

Aequationes Mathematicae, 2021
Yunan Cui, Li Zhao
semanticscholar   +1 more source

Orlicz spaces of essentially bounded functions and Banach-Orlicz algebras

Archiv der Mathematik, 1985
There are characterized all pairs [\(\Phi\),\(\mu\) ], where \(\Phi\) is a convex Orlicz function and \(\mu\) is a \(\sigma\)-finite, positive measure, for which \(L^{\Phi}(\mu)=L^{\infty}(\mu)\) and all these pairs that \(L^{\Phi}(\mu)\) are Banach quasi-algebras (or Banach algebras) under pointwise multiplication of functions.
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Conjugate Functionals and Orlicz Spaces

1985
In this chapter, we consider the Orlicz spaces L H and L H* as generalizations of the Lebesgue spaces L p and L q respectively, where p, q > 1, p −1 + q −1 = 1 and explain the connection with conjugate functionals. Orlicz spaces were introduced by Orlicz in 1932.
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Noncreasy and uniformly noncreasy Orlicz–Bochner function spaces

Nonlinear Analysis: Theory, Methods & Applications, 2011
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Shi, Zhongrui, Liu, Chunyan
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Points of monotonicity in Orlicz–Lorentz function spaces

Nonlinear Analysis: Theory, Methods & Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gong, Wanzhong, Shi, Zhongrui
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(??, ?) - Double sequence spaces via Orlicz function

2020
In this paper we define and study two concepts which arise from the notions of invariant means and de la Valle-Poussin mean namely: strongly double (Ã, a)- convergence defined by Orlicz function and uniform (??, ?-statistical convergence and establish natural characterization for the underline sequence spaces.
Savaş, Ekrem, Patterson, Richard F.
openaire   +1 more source

On Hardy ‐ Littlewood Maximal Functions in Orlicz Spaces

Mathematische Nachrichten, 1997
AbstractLet Φ(t) and Ψ(t) be the functions having the following representations Φ(t) = ∫a(s)ds and Ψ(t) = ∫b(s) ds, where a(s) is a positive continuous function such that ∫a(s)/s ds = + ∞ and b(s) is an increasing function such that lims→ ∞ b(s) = + ∞. Then the following statements for the Hardy ‐ Littlewood maximal function M f (x) are equivalent: (i)
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Uniform rotundity of Orlicz function spaces equipped with the p ‐Amemiya norm

, 2018
Radosław Kaczmarek
semanticscholar   +1 more source

Non-isomorphic complemented subspaces of the reflexive Orlicz function spaces ^{Φ}[0,1]

, 2015
G. Ghawadrah
semanticscholar   +1 more source