Weighted estimates of multilinear fractional integral operators for radial functions

Abstract

Moen (2009) proved weighted estimates for multilinear fractional integral operators. We consider weighted estimates of these operators for radial functions and power weights and obtain a better result. Our result is a multilinear variant of the one by De Napoli, Drelichman and Durán (2011). As applications, we get improvements of the bilinear Caffarelli-Kohn-Nirenberg’s inequality. Mathematics subject classification (2010): 42B20.