On the strict convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm.

Mohamed Morsli; Fazia Bedouhene

The search session has expired. Please query the service again.

Displaying similar documents to “On the strict convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm.”

Intersections and algebraic sums of Musielak-Orlicz spaces

Hudzik, H. (1981)

Portugaliae mathematica

Similarity:

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

Paweł Kolwicz (2005)

Banach Center Publications

Similarity:

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].

Uniform non-squareness and property $(β)$ of Besicovitch-Orlicz spaces of almost periodic functions with Orlicz norm

Fatiha Boulahia, Mohamed Morsli (2010)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

We characterize the uniform non-squareness and the property $(β)$ of Besicovitch-Orlicz spaces of almost periodic functions equipped with Orlicz norm.

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

Michał Kisielewicz (1975)

Annales Polonici Mathematici

Similarity:

On a class of universal Orlicz function spaces

César Ruiz (1990)

Acta Universitatis Carolinae. Mathematica et Physica

Similarity:

Władysław Orlicz (1903-1990). A biography

Lech Maligranda, Witold Wnuk (2004)

Banach Center Publications

Similarity:

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

Similarity:

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.

Roughness of two norms on Musielak-Orlicz function spaces

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

Banach Center Publications

Similarity:

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

Similarity:

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

On the uniform convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm

Mohamed Morsli, Fazia Bedouhene (2005)

Colloquium Mathematicae

Similarity:

In [5], we characterized the uniform convexity with respect to the Luxemburg norm of the Besicovitch-Orlicz space of almost periodic functions. Here we give an analogous result when this space is endowed with the Orlicz norm.

Jung constants of Orlicz sequence spaces

Tao Zhang (2003)

Annales Polonici Mathematici

Similarity:

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.

A characterization of Orlicz spaces isometric to Lp-spaces.

Grzegorz Lewicki (1997)

Collectanea Mathematica

Similarity:

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.