Results 11 to 20 of about 4,373 (230)
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.
Canay Aykol +2 more
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β Property in Orlicz Sequence Spaces Equipped with s-norm
Orlicz spaces equipped with s-norm is an extension of Orlicz spaces. In order to studing the H property and the property β in Orlicz space equipped with s-norm,some basic properties of the s-norm are discussed firstly.
CUI Yun-an, DONG Jia-qi
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Inclusion Properties of Henstock-Orlicz Spaces
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
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Monotonicities in Orlicz Spaces Equipped with Mazur-Orlicz F-Norm
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
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On the (k-β) Points of Musielak-Orlicz Sequence Spaces Equipped with the Orlicz Norm
MusielakOrlicz spaces is the generalization of classical Orlicz spaces In this paper, we investigated the problem of characterization of the (kβ) points in Musielak Orlicz sequence spaces equipped with the Orlicz norm Firstly, the definition of (kβ ...
ZUO Ming-xia, LIU Hong-jiao
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Property ( k) of Orlicz Sequence Spaces
Property ( k) is an important geometric property in Banach spaces,and it is closely associated with fixed point property. By the geometric theory of Banach spaces and Orlicz spaces, we investigated the characterization for property( k) in a special ...
ZUO Ming-xia, PENG Li-na
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Uniform rotundity in every direction of Orlicz-Sobolev spaces
In this paper, we study the extreme points and rotundity of Orlicz-Sobolev spaces. Analyzing and combining the properties of both Orlicz spaces and Sobolev spaces, we get the sufficient and necessary criteria for Orlicz-Sobolev spaces equipped with a ...
Fayun Cao, Rui Mao, Bing Wang
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Uniformly Nonsquare in Orlicz Space Equipped with the Mazur-Orlicz F-Norm
The definition of uniformly nonsquareness in Banach spaces is extended to F-normed spaces. Most of the results from this paper concern (uniformly) nonsquareness in the sense of James or in the sense of Schäffer in Orlicz spaces equipped with the Mazur ...
Yunan Cui, Tongyu Wang
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Upper Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces
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
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Hypercyclicity of Composition Operators on Orlicz Function Spaces
In this paper, we discuss the hypercyclic properties of composition operators on Orlicz function spaces. We give some different conditions under which a composition operator on Orlicz spaces is hyper-cyclic or not. Similarly, multiplication operators are
Jafari F., Kamali Z.
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