We study upper and lower estimates as well as the asymptotic behavior of the sharp constant C=Cₙ(U,V) in the doubling-type condition at the origin \[ 1/|V|∫ Vf(x) dx≤ C 1/|U|∫ Uf(x) dx, \] where U,V⊂ Rⁿ are $0$-symmetric convex bodies and f is a non-negative positive definite function.
No takes yet. Share an insight, caveat, or question.
Горбачев et al. (2018) studied this question.