Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
Abstract
We study the properties of the Sobolev Multiplier Spaces of X-valued functions and their preduals, where X is a Banach space. It is shown that a necessary and sufficient condition for the duality to be valid is that X∗ possesses the Radon-Nikodym property. Weak vector-valued and the projective tensor type spaces regarding of the preduals will also be taken into account and it is shown that they differ to each other when X is infinite-dimensional.
