Decomposable sets and Musielak-Orlicz spaces of multifunctions

• Autorzy: Andrzej Kasperski
• Języki publikacji: EN

Abstrakty

EN

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

Kategorie tematyczne

• 46E99: None of the above, but in this section
• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 28B20: Set-valued set functions and measures; integration of set-valued functions; measurable selections

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 68
• Numer: 1
• Strony: 71-77

Daty

wydano

2005

Twórcy

autor

Andrzej Kasperski

• Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland

Identyfikatory

DOI

10.4064/bc68-0-8