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Smoothness of Extremizers of a Convolution Inequality
Extremizers Euler-Lagrange equation smoothness multilinear bounds
2011/2/28
Let d ≥ 2 and T be the convolution operator T f(x) = R Rd−1 f(x′ − t, xd − |t|2) dt, which is is bounded from L(d+1)/d(Rd) to Ld+1(Rd). We show that any critical point f ∈ L(d+1)/d o...