Nicola De Nitti
The fractional Caffarelli-Kohn-Nirenberg inequality states that ˆRn ˆRn (u(x) − u(y)) 2 |x| α |x − y| n+2s |y| α dx dy ≥ n,s,p,α,β u|x| −β 2 L p , for 0 < s < min{1, n/2}, 2 < p < 2 * s , and α, β ∈ R so that β − α = s − n 1 2 − 1 p and −2s < α < n−2s 2. C ...
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