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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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Conjugate Spaces of Orlicz Spaces
Indagationes Mathematicae (Proceedings), 1956Luxemburg, W. A. J., Zaanen, A. C.
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Orlicz Spaces and Generalized Orlicz Spaces
2019Hästö Peter, Harjulehto Petteri
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