Points of monotonicity in F-normed Orlicz function spaces

Yang, Yi; Cui, Yunan; Kaczmarek, Radosław

doi:10.1007/s00010-023-00961-2

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2024

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Cited by 2 publications

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“…We provide several methods for determining lower monotonicity. Some proof methods or ideas mentioned in the paper, such as [3,4,[7][8][9], have reference value.…”

Section: Introductionmentioning

confidence: 99%

Lower Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces

Liu,

Xue,

Cui

2024

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Lower strict monotonicity points and lower local uniform monotonicity points are considered in the case of Musielak–Orlicz function spaces LΦ endowed with the Mazur–Orlicz F-norm. The findings outlined in this study extend the scope of geometric characteristics observed in F-normed Orlicz spaces, as well as monotonicity properties within specific F-normed lattices. They are suitable for the Orlicz spaces of ordered continuous elements, specifically in relation to the Mazur–Orlicz F-norm. In addition, in this paper presents results that can be used to derive certain monotonicity properties in F-normed Musielak–Orlicz spaces.

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“…We provide several methods for determining lower monotonicity. Some proof methods or ideas mentioned in the paper, such as [3,4,[7][8][9], have reference value.…”

Section: Introductionmentioning

confidence: 99%

Lower Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces

Liu,

Xue,

Cui

2024

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“…in geometric properties. In recent years, monotonicity points have been extensively studied in Musielak-Orlicz, Orlicz-Lorentz, and Calder ón-Lozanovskiȋ spaces (see [1][2][3][4]).…”

Section: Introductionmentioning

confidence: 99%

Upper Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces

Liu

Xue

Cui

2023

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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. Moreover, strict monotonicity and upper local uniform monotonicity are easily deduced in the case of Musielak–Orlicz spaces endowed with the Mazur–Orlicz F-norm, and the work by Kaczmarek presented in the references is encompassed by the corollaries presented in this paper.

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Points of monotonicity in F-normed Orlicz function spaces

Cited by 2 publications

References 14 publications

Lower Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces

Lower Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces

Upper Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces

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