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A+ CATEGORY SCIENTIFIC UNIT

Decomposable sets and Musielak-Orlicz spaces of multifunctions

Volume 68 / 2005

Andrzej Kasperski Banach Center Publications 68 (2005), 71-77 MSC: 46E30, 46E99, 28B20. DOI: 10.4064/bc68-0-8

Abstract

We introduce the Musielak-Orlicz space of multifunctions and the set S^{\varphi }_{F} of \varphi -integrable selections of F. We show that some decomposable sets in Musielak-Orlicz space belong to X_{m,\varphi }. We generalize Theorem 3.1 from [6]. Also, we get some theorems on the space X_{m,\varphi } and the set S^{\varphi }_{F}.

Authors

  • Andrzej KasperskiInstitute of Mathematics
    Silesian University of Technology
    Kaszubska 23
    44-100 Gliwice
    Poland
    e-mail

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