Orlicz spaces which are Lp-spaces. (Summary).

K. Baron; Henryk Hudzik

Displaying similar documents to “Orlicz spaces which are Lp-spaces. (Summary).”

Orlicz spaces which are Lp-spaces.

Karol Baron, Henryk Hudzig (1994)

Aequationes mathematicae

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

Michał Kisielewicz (1975)

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Władysław Orlicz (1903-1990). A biography

Lech Maligranda, Witold Wnuk (2004)

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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].

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.

The importance of being Orlicz

Jürgen Appell (2004)

Banach Center Publications

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Jung constants of Orlicz sequence spaces

Tao Zhang (2003)

Annales Polonici Mathematici

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Estimation of the Jung constants of Orlicz sequence spaces equipped with either the Luxemburg norm or the Orlicz norm is given. The exact values of the Jung constants of a class of reflexive Orlicz sequence spaces are found by using new quantitative indices for 𝓝-functions.

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.

Intersections and algebraic sums of Musielak-Orlicz spaces

Hudzik, H. (1981)

Portugaliae mathematica

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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.

A characterization of Orlicz spaces isometric to Lp-spaces.

Grzegorz Lewicki (1997)

Collectanea Mathematica

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In this note we present an affirmative answer to the problem posed by M. Baronti and C. Franchetti (oral communication) concerning a characterization of Lp-spaces among Orlicz sequence spaces. In fact, we show a more general characterization of Orlicz spaces isometric to Lp-spaces.