Preduals of Sobolev-Campanato spaces. (English) Zbl 0983.46032

Gröger, Konrad; Recke, Lutz

Math. Bohem. 126, No. 2, 403-410 (2001).

Summary: We present definitions of Banach spaces predual to Campanato spaces and Sobolev-Campanato spaces, respectively, and we announce some results on embeddings and isomorphisms between these spaces. Detailed proofs will appear in our paper in Math. Nachr.

MSC:

46E35	Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
46A13	Spaces defined by inductive or projective limits (LB, LF, etc.)
46B10	Duality and reflexivity in normed linear and Banach spaces

Keywords:

scales of Banach spaces; embedding theorems; predual to Campanato spaces; Sobolev-Campanato spaces