On extrapolation of Sobolev and Morrey type imbeddings.

by    M. Krbec, Schmeißer H.-J.

Preprint series: 99-07, Analysis

The paper is published: In : Function spaces : The fifth conference, Lecture notes in pure and applied math. 213 (ed. H. Hudzik & L. Skrzypczak), 297-322, Marcel Dekker, 2000.

MSC:
46E35 Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
46B70 Interpolation between normed linear spaces, See Also {
46E30 Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Kothe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Abstract: This paper deals with some recent results on limiting imbeddings of spaces of Sobolev type and of the connected extrapolation background.
We consider spaces with dominating mixed derivatives and their limiting imbeddings into exponential Orlicz spaces and into the spaces of almost Lipschitz continuous functions.

Keywords: reduced imbeddings, spaces with dominating mixed derivatives, Orlicz spaces, almost Lipschitz continuous functions

Upload: 1998-12-01

Update: 2000-09-06


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