The Distance to L∞ in the Grand Orlicz Spaces

The Distance to L∞ in the Grand Orlicz Spaces

We establish a formula for the distance to L∞ from the grand Orlicz space LΦ)Ω introduced in Capone et al. (2008). A new formula for the distance to L∞ from the grand Lebesgue space Ln)Ω introduced in Iwaniec and Sbordone (1992) is also provided.

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Veröffentlicht in:Journal of function spaces 2013, Vol.2013 (2013), p.1-7
Hauptverfasser: Farroni, Fernando, Giova, Raffaella
Format: Artikel
Sprache:eng
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Zusammenfassung:We establish a formula for the distance to L∞ from the grand Orlicz space LΦ)Ω introduced in Capone et al. (2008). A new formula for the distance to L∞ from the grand Lebesgue space Ln)Ω introduced in Iwaniec and Sbordone (1992) is also provided.
ISSN:2314-8896
0972-6802
2314-8888
1758-4965
DOI:10.1155/2013/658527