Some embedding theorems for classes of sequences

J. Musielak

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Displaying similar documents to “Some embedding theorems for classes of sequences”

The importance of being Orlicz

Jürgen Appell (2004)

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On the density of smooth functions in Sobolev-Orlicz spaces.

Zhikov, V.V. (2004)

Journal of Mathematical Sciences (New York)

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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)

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Fine behavior of functions whose gradients are in an Orlicz space

Jan Malý, David Swanson, William P. Ziemer (2009)

Studia Mathematica

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For functions whose derivatives belong to an Orlicz space, we develop their "fine" properties as a generalization of the treatment found in [MZ] for Sobolev functions. Of particular importance is Theorem 8.8, which is used in the development in [MSZ] of the coarea formula for such functions.

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].

On a class of universal Orlicz function spaces

César Ruiz (1990)

Acta Universitatis Carolinae. Mathematica et Physica

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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.

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.