In this paper, we derive some Sobolev inequalities for radially symmetric functions in s with 1/2 < s < n/2. We show the end point case s = 1/2 on the homogeneous Besov space B2,1 1/2. These results are extensions of the well-known Strauss' inequality . Also non-radial extensions are given, which show that compact embeddings are possible in some Lp spaces if a suitable angular regularity is imposed.
- Angular regularity.
- Function space with radial symmetry
- Sobolev inequality
ASJC Scopus subject areas
- Applied Mathematics