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Remarks on the spaces of differentiable multifunctions

100%

Kasperski A.

Banach Center Publications

2011

tom 92

nr 1

167-175

In this paper we consider some spaces of differentiable multifunctions, in particular the generalized Orlicz-Sobolev spaces of multifunctions, we study completeness of them, and give some theorems.

Decomposable sets and Musielak-Orlicz spaces of multifunctions

100%

Kasperski A.

Banach Center Publications

2005

tom 68

nr 1

71-77

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 $S^{φ}_{F}$.

Ograniczanie wyników

2 Banach Center Publications

2 Kasperski A.

1 2011

1 2005

Wyniki wyszukiwania

Remarks on the spaces of differentiable multifunctions

Decomposable sets and Musielak-Orlicz spaces of multifunctions