Interpolation of compact bilinear operators among quasi-Banach spaces and applications

摘要

We study the interpolation properties of compact bilinear operators by the general real method among quasi-Banach couples. As an application we show that commutators of Calderon-Zygmund bilinear operators S : L-p X L-q - Lr are compact provided that 1/2 r 1, 1 p,q infinity and 1/p+1/q = 1/r.