Glasnik Matematicki, Vol. 35, No.1 (2000), 161-177.
COMPACT EMBEDDINGS OF VECTOR-VALUED
SOBOLEV AND BESOV SPACES
Herbert Amann
Institut fur Mathematik, Universitat Zurich, Winterthurerstr. 190,
CH-8057 Zurich, Switzerland
e-mail: amann@math.unizh.ch
Abstract. The main result of this paper is a
generalization and sharpening of the Aubin-Dubinskii lemma concerning
compact subsets in vector-valued Lebesque spaces. In addition, there
are given some new embedding results for vector valued Besov spaces.
1991 Mathematics Subject Classification.
46E40.
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