Results 11 to 20 of about 5,398,923 (220)
Nonsquareness in Musielak-Orlicz-Bochner Function Spaces [PDF]
Abstract and Applied Analysis, 2011 The criteria for nonsquareness in the classical Orlicz function spaces have been given already. However, because of the complication of Musielak-Orlicz-Bochner function spaces, at present the criteria for nonsquareness have not been discussed yet. In the
Shaoqiang Shang, Yunan Cui, Yongqiang Fu
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Extreme Points and Rotundity in Musielak-Orlicz-Bochner Function Spaces Endowed with Orlicz Norm [PDF]
Abstract and Applied Analysis, 2010 The criteria for extreme point and rotundity of Musielak-Orlicz-Bochner function spaces equipped with Orlicz norm are given. Although criteria for extreme point of Musielak-Orlicz function spaces equipped with the Orlicz norm were known, we can easily ...
Shaoqiang Shang, Yunan Cui, Yongqiang Fu
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Maximal function in Beurling–Orlicz and central Morrey–Orlicz spaces
Colloquium Mathematicum, 2015 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.
Maligranda, Lech, +3 more
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Journal of Kufa for Mathematics and Computer, 2010 In this paper, we review here some of the ideas we have encountered in Orlicz function and define S*- Orlicz lattice. We have proved that S*-Orlicz space (X, ||.||F) is a normed S*-Vector Lattice, complete and therefore, it's a Banach S*-Vector Lattice.
Falah Hasan Sarhan +1 more
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Monotonicities of Quasi-Normed Orlicz Spaces
AxiomsIn this paper, we introduce a new Orlicz function, namely a b-Orlicz function, which is not necessarily convex. The Orlicz spaces LΦ generated by the b-Orlicz function Φ equipped with a Luxemburg quasi-norm contain both classical spaces Lp(p≥1) and Lp ...
Dong Ji, Yunan Cui
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On the strict convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz nor [PDF]
Revista Matemática Complutense, 2003 The problem of strict convexity of the Besicovitch-Orlicz space of almost periodic functions is considered here in connection with the Orlicz norm.
Morsli, Mohamed, Bedouhene, Fazia
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The Banach-Saks Properties in Orlicz-Lorentz Spaces [PDF]
Abstract and Applied Analysis, 2014 The Banach-Saks index of an Orlicz-Lorentz space Λφ,w(I) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of φ. It is also shown that an Orlicz-Lorentz function space has weak Banach-Saks (resp., Banach-Saks)
Anna Kamińska, Han Ju Lee
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Orlicz–Lorentz function spaces equipped with the Orlicz norm
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023 AbstractWe investigate Orlicz–Lorentz function spaces equipped with the Orlicz norm generated by any Orlicz function and any non-increasing weight function. As far as we know, this is the first time such a general research is conducted. First we show some basic properties of the Orlicz norm, including its equality to the Amemiya norm, the problem of ...
Paweł Foralewski, Joanna Kończak
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Smoothness of the Orlicz norm in Musielak–Orlicz function spaces [PDF]
Mathematische Nachrichten, 2013 In this paper, we present a characterization of support functionals and smooth points in , the Musielak–Orlicz space equipped with the Orlicz norm. As a result, criterion for the smoothness of is also obtained. Some expressions involving the norms of functionals in , the topological dual of , are proved for arbitrary Musielak–Orlicz functions.
Vigelis, Rui F., Cavalcante, Charles C.
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EXTENSION OF SUBMULTIPLICATIVITY AND SUPERMULTIPLICATIVITY OF ORLICZ FUNCTIONS [PDF]
Real Analysis Exchange, 1998 The authors consider an Orlicz function \(\varphi \), submultiplicative (supermultiplicative) at infinity, and they prove that a necessary and sufficient condition for the existence of Orlicz functions \(\psi \), equivalent to \(\varphi \) at infinity and submultiplicative (supermultiplicative) on the whole of \(\mathbb R^n\), is the \(\Delta _2 ...
Hudzik, H. +3 more
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