Undeleted for the sake of a full record
Your inequality seems to follow easily from the Brunn-Minkowski inequality. Namely,
$$ |(K+L)/2|^2 \ge \left[|K/2|^{1/n}+|L/2|^{1/n}\right]^{2n} \ge\left[4|K/2|^{1/n}|L/2|^{1/n}\right]^{n} =|K||L|\text. $$
|
2 | added 47 characters in body | ||
|
|
||||
|
Post Undeleted by Yoav Kallus
|
||||
|
|
||||
|
Post Deleted by Yoav Kallus
|
||||
|
|
||||
|
1 |
|
||
