Sharp Sobolev embeddings and related Hardy inequalities : The sub-critical case

Preprint series: 99-02, Analysis

The paper is published: Math. Nachr., 208, 167-178, 1999

MSC:
46E35 Sobolev spaces and other spaces of smooth'' functions, embedding theorems, trace theorems

Abstract: The paper deals with sharp embeddings of the spaces $B^s_{pq}$ and $F^s_{pq}$ into
rearrangement-invariant spaces and related Hardy inequalities. Here $\left( \frac{1}{p} , s \right)$
belongs to the shaded region in the Figure.

Keywords: function spaces, embeddings, Hardy inequalities, rearrangement

Upload: 1999-01-28

Update: 1999-12-03

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