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.
Displaying similar documents to “Some classical function systems in separable Orlicz spaces”
On the smoothness of Orlicz sequence spaces equipped with Orlicz norm.
The completely continuous property in Orlicz spaces.
Bor-Luh Lin, Zhongrui Shi (1997)
Collectanea Mathematica
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We show that in Orlicz spaces equipped with Luxemburg norm and Orlicz norm, the RNP, CCP, PCP and CPCP are equivalent.
Some basic properties of generalized Calderon-Lozanovskiî.
Pawel Foralewski, Henryk Hudzik (1997)
Collectanea Mathematica
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On the locally uniformly weak star rotundity of Orlicz spaces.
Ting Fu Wang, Zhong Rui Shi (1994)
Revista Matemática de la Universidad Complutense de Madrid
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In the paper, a sufficient and necessary condition is given for the locally uniformly weak star rotundity of Orlicz spaces with Orlicz norms.
Contractive projections in Orlicz sequence spaces.
Randrianantoanina, Beata (2004)
Abstract and Applied Analysis
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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.
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.
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.
Maximal function in Beurling-Orlicz and central Morrey-Orlicz spaces
Lech Maligranda, Katsuo Matsuoka (2015)
Colloquium Mathematicae
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We define Beurling-Orlicz spaces, weak Beurling-Orlicz spaces, Herz-Orlicz spaces, weak Herz-Orlicz spaces, central Morrey-Orlicz spaces and weak central Morrey-Orlicz spaces. Moreover, the strong-type and weak-type estimates of the Hardy-Littlewood maximal function on these spaces are investigated.