We give a new proof of certain cases of the sharp HLS inequality. Instead of symmetric decreasing rearrangement it uses the reflection positivity of inversions in spheres. In doing this we extend a characterization of the minimizing functions due to Li and Zhu.
|Original language||English (US)|
|Number of pages||15|
|Journal||Calculus of Variations and Partial Differential Equations|
|State||Published - 2010|
All Science Journal Classification (ASJC) codes
- Applied Mathematics