The best constant in the Khintchine inequality of the Orlicz space   $L_{\psi_2}$ for equidistributed random variables on spheres
  We compute the best constant in the Khintchine inequality for equidistributed random variables on the $N$-sphere in the Orlicz space $L_{\psi_2}$. 
Hauke Dirksen
math.FA