Jung constants of Orlicz sequence spaces

Tao Zhang

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Displaying similar documents to “Jung constants of Orlicz sequence spaces”

On property (β) of Rolewicz in Musielak-Orlicz sequence spaces equipped with the Orlicz norm

Paweł Kolwicz (2005)

Banach Center Publications

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We prove that the Musielak-Orlicz sequence space with the Orlicz norm has property (β) iff it is reflexive. It is a generalization and essential extension of the respective results from [3] and [5]. Moreover, taking an arbitrary Musielak-Orlicz function instead of an N-function we develop new methods and techniques of proof and we consider a wider class of spaces than in [3] and [5].

The Orlicz type theorem for differential-integral equations with a lagging argument

Michał Kisielewicz (1975)

Annales Polonici Mathematici

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Władysław Orlicz (1903-1990). A biography

Lech Maligranda, Witold Wnuk (2004)

Banach Center Publications

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Roughness of two norms on Musielak-Orlicz function spaces

Jimin Zheng, Lihuan Sun, Yun'an Cui (2008)

Banach Center Publications

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In this paper, the criteria of strong roughness, roughness and pointwise roughness of Orlicz norm and Luxemburg norm on Musielak-Orlicz function spaces are obtained.

Best Constants for the Inequalities between Equivalent Norms in Orlicz Spaces

Ha Huy Bang, Nguyen Van Hoang, Vu Nhat Huy (2011)

Bulletin of the Polish Academy of Sciences. Mathematics

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We investigate best constants for inequalities between the Orlicz norm and Luxemburg norm in Orlicz spaces.

The importance of being Orlicz

Jürgen Appell (2004)

Banach Center Publications

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Intersections and algebraic sums of Musielak-Orlicz spaces

Hudzik, H. (1981)

Portugaliae mathematica

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On a class of universal Orlicz function spaces

César Ruiz (1990)

Acta Universitatis Carolinae. Mathematica et Physica

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On W*UR point and UR point of Orlicz spaces with Orlicz norm.

Ting Fu Wang, Zhong Rui Shi, Quan Di Wang (1993)

Collectanea Mathematica

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For Orlicz spaces with Orlicz norm, a criterion of W*UR point is given, and previous results about UR points and WUR points are amended.

Lattice structures in Orlicz spaces

Francisco L. Hernández (2004)

Banach Center Publications

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Uniformly non-ln(1) Musielak-Orlicz Spaces of Bochner Type.

Henryk Hudzik, Ghassan Alherk (1989)

Forum mathematicum

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Smooth points of the unit sphere in Musielak-Orlicz function spaces equipped with the Luxemburg norm

Zenon Zbąszyniak (1994)

Commentationes Mathematicae Universitatis Carolinae

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There is given a criterion for an arbitrary element from the unit sphere of Musielak-Orlicz function space equipped with the Luxemburg norm to be a point of smoothness. Next, as a corollary, a criterion of smoothness of these spaces is given.