Preduals of Campanato spaces and Sobolev-Campanato spaces: A general construction (Q2762262)

The authors describe two abstract limiting processes for families of Banach spaces closely related to the standard definition of projective and inductive limits. By these processes they again obtain Banach spaces. They show that the information about linear operators and duality between basic families of spaces is carried over to the corresponding limit spaces. Using the abstract theory of Campanato spaces and Sobolev-Campanato spaces, they obtain the existence and a characterization of predual spaces. Some imbedding relations are investigated in more detail.