A Selberg integral formula and applications

Loukas Grafakos, Carlo Morpurgo
1999 Pacific Journal of Mathematics  
We obtain a 3-fold Selberg integral formula. As a consequence we are able to compute the explicit value of the sharp constant in a trilinear fractional integral inequality due to Beckner.
doi:10.2140/pjm.1999.191.85 fatcat:odwmxg5x45b33c7yjkr4pi5ht4