Results 201 to 210 of about 12,193 (245)
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Israel Journal of Mathematics, 1971
It is proved that every Orlicz sequence space contains a subspace isomorphic to somel p . The question of uniqueness of symmetric bases in Orlicz sequence spaces is investigated.
Lindenstrauss, J., Tzafriri, L.
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It is proved that every Orlicz sequence space contains a subspace isomorphic to somel p . The question of uniqueness of symmetric bases in Orlicz sequence spaces is investigated.
Lindenstrauss, J., Tzafriri, L.
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Israel Journal of Mathematics, 1972
It is proved that the set ofp's such thatlp is isomorphic to a subspace of a given Orlicz spacelFforms an interval. Some examples and properties of minimal Orlicz sequence spaces are presented. It is proved that an Orlicz function space (different froml2) is not isomorphic to a subspace of an Orlicz sequence space.
Lindenstrauss, J., Tzafriri, L.
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It is proved that the set ofp's such thatlp is isomorphic to a subspace of a given Orlicz spacelFforms an interval. Some examples and properties of minimal Orlicz sequence spaces are presented. It is proved that an Orlicz function space (different froml2) is not isomorphic to a subspace of an Orlicz sequence space.
Lindenstrauss, J., Tzafriri, L.
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WM PROPERTY OF ORLICZ SPACES WITH ORLICZ NORM
Acta Mathematica Scientia, 1994Summary: It is shown that an Orlicz space \(L_ M\) with Orlicz norm has WM property iff it is reflexive and the right derivative of its generating function \(M\) is continuous at both extreme points of any interval on which \(M\) is affine.
Chen, Shutao, Duan, Yanzheng
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Inclusions in Generalized Orlicz Spaces
Bulletin of the Iranian Mathematical Society, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yoshihiro Sawano +1 more
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2021
Now that the key properties of N-functions have been established, we are equipped with a basic toolkit for identifying related Musielak–Orlicz and Musielak–Orlicz–Sobolev spaces. Here we present a study of their properties.
Iwona Chlebicka +3 more
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Now that the key properties of N-functions have been established, we are equipped with a basic toolkit for identifying related Musielak–Orlicz and Musielak–Orlicz–Sobolev spaces. Here we present a study of their properties.
Iwona Chlebicka +3 more
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Characterizations of Hardy-Orlicz and Bergman-Orlicz spaces
Journal of Mathematical Sciences, 2007Let \(\phi \,:\,\mathbb R\mapsto [0,+\infty)\) be an increasing and convex function. The Hardy--Orlicz space \(H_\phi(B)\) in the unit ball \(B\) of \(\mathbb C^n\) is defined as the space of functions \(f\) holomorphic in \(B\) and such that \(\phi(\log| f| )\) possesses a harmonic majorant in \(B\). The Bergman--Orlicz space \(A_\phi(\nu_\alpha)\) is
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2019
In the previous chapter, we investigated properties of Φ-functions. In this chapter, we use them to derive results for function spaces defined by means of Φ-functions.
Petteri Harjulehto, Peter Hästö
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In the previous chapter, we investigated properties of Φ-functions. In this chapter, we use them to derive results for function spaces defined by means of Φ-functions.
Petteri Harjulehto, Peter Hästö
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1976
Made available in DSpace on 2014-12-14T13:09:31Z (GMT). No. of bitstreams: 1 7624194.pdf: 3782416 bytes, checksum: cb6ba9419a448177bca5cc2c31ac9dd0 (MD5) Previous issue date: 1976 ; Embargo set by: Seth Robbins for item 68295 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs ; Restricted to ...
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Made available in DSpace on 2014-12-14T13:09:31Z (GMT). No. of bitstreams: 1 7624194.pdf: 3782416 bytes, checksum: cb6ba9419a448177bca5cc2c31ac9dd0 (MD5) Previous issue date: 1976 ; Embargo set by: Seth Robbins for item 68295 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs ; Restricted to ...
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2016
In this chapter, we study conditions of separability for Orlicz spaces L Φ . We consider Young classes Y Φ , the subspaces H Φ , and their embeddings H Φ ⊆ Y Φ ⊆ L Φ . We show that the equality H Φ = Y Φ = L Φ is equivalent to separability of L Φ . This and other equivalents of separability studied earlier in Chaps.
Ben-Zion A. Rubshtein +3 more
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In this chapter, we study conditions of separability for Orlicz spaces L Φ . We consider Young classes Y Φ , the subspaces H Φ , and their embeddings H Φ ⊆ Y Φ ⊆ L Φ . We show that the equality H Φ = Y Φ = L Φ is equivalent to separability of L Φ . This and other equivalents of separability studied earlier in Chaps.
Ben-Zion A. Rubshtein +3 more
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Interpolation of weighted Orlicz spaces
Applied Mathematics and Computation, 2003Given \(\overline X=(X_0, X_1)\) a compatible couple of quasi-Banach spaces, \textit{J.~Gustavsson} and \textit{J.~Peetre} [Stud. Math. 60, 33-59 (1977; Zbl 0353.46019)] defined the interpolation functor \(\langle\overline X\rangle_\rho\), where \(\rho\) is a pseudo-concave function.
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