The Orlicz type theorem for differential-integral equations with a lagging argument
Michał Kisielewicz (1975)
Annales Polonici Mathematici
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Michał Kisielewicz (1975)
Annales Polonici Mathematici
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Lech Maligranda, Witold Wnuk (2004)
Banach Center Publications
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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.
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.
Jürgen Appell (2004)
Banach Center Publications
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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.
Hudzik, H. (1981)
Portugaliae mathematica
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César Ruiz (1990)
Acta Universitatis Carolinae. Mathematica et Physica
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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.
Francisco L. Hernández (2004)
Banach Center Publications
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Henryk Hudzik, Ghassan Alherk (1989)
Forum mathematicum
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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.
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.