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.
Milestones
Received: 3 February 1998
Revised: 1 April 1998
Published: 1 November 1999
Authors
Loukas Grafakos
Dipartimento di Matematica e
Applicazioni
Universita di Milano - Bicocca
Via Bicocca degli Arcimboldi, 8
20126 Milano
Italy