Preduals of Campanato spaces and Sobolev-Campanato spaces: A general construction

In this paper we describe two limiting processes for families of Banach spa ces closely related to the standard definition of projective and inductive limits. These processes lead again to Banach spaces. Information about line ar operators and duality between basic families of spaces is carried over t o the corresponding limit spaces. The abstract results are shown to be applicable to Campanato spaces and Sob olev-Campanato spaces. In particular, we obtain the existence and a charact erization of predual spaces. Some imbedding relations are investigated in m ore detail.