Decomposable sets and Musielak-Orlicz spaces of multifunctions
Andrzej Kasperski
Banach Center Publications, Tome 68 (2005), p. 71-77 / Harvested from The Polish Digital Mathematics Library
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We introduce the Musielak-Orlicz space of multifunctions Xm,φ and the set SFφ of φ-integrable selections of F. We show that some decomposable sets in Musielak-Orlicz space belong to Xm,φ. We generalize Theorem 3.1 from [6]. Also, we get some theorems on the space Xm,φ and the set SFφ.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:282504 
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     title = {Decomposable sets and Musielak-Orlicz spaces of multifunctions},
     journal = {Banach Center Publications},
     volume = {68},
     year = {2005},
     pages = {71-77},
     zbl = {1088.46016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc68-0-8}
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Andrzej Kasperski. Decomposable sets and Musielak-Orlicz spaces of multifunctions. Banach Center Publications, Tome 68 (2005) pp. 71-77. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc68-0-8/