Intersections and algebraic sums of Musielak-Orlicz spaces
Hudzik, H. (1981)
Portugaliae mathematica
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Displaying similar documents to “A characterization of Orlicz spaces isometric to Lp-spaces.”
Intersections and algebraic sums of Musielak-Orlicz spaces
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.
On a class of universal Orlicz function spaces
César Ruiz (1990)
Acta Universitatis Carolinae. Mathematica et Physica
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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].
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.
On the smoothness of Orlicz sequence spaces equipped with Orlicz norm.
Zhongrui Shi, Tingfu Wang (1996)
Collectanea Mathematica
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We give a criterion of smoothness of Orlicz sequence spaces with Orlicz norm.
Smoothness in Musielak-Orlicz spaces equipped with the Orlicz norm.
Henryk Hudzik, Zenon Zbaszyniak (1997)
Collectanea Mathematica
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A formula for the distance of an arbitrary element x in Musielak-Orlicz space L^Phi from the subspace E^Phi of order continuous elements is given for both (the Luxemburg and the Orlicz) norms. A formula for the norm in the dual space of L^Phi is given for any of these two norms. Criteria for smooth points and smoothness in L^Phi and E^Phi equipped with the Orlicz norm are presented.