Vol. 191, No. 1, 1999

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A Selberg integral formula and applications

Loukas Grafakos and Carlo Morpurgo

Vol. 191 (1999), No. 1, 85–94
Abstract

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
Carlo Morpurgo
Dipartimento di Matematica e Applicazioni
Universita di Milano - Bicocca
Via Bicocca degli Arcimboldi, 8
20126 Milano
Italy