摘要

In this paper, we obtain a version of the John-Nirenberg inequality suitable for Campanato spaces C (p,beta) with 0 < p < 1 and show that the spaces C (p,beta) are independent of the scale p a (0,a) in sense of norm when 0 < beta < 1. As an application, we characterize these spaces by the boundedness of the commutators [b,B (alpha) ] (j) (j = 1, 2) generated by bilinear fractional integral operators B (alpha) and the symbol b acting from L (p1) x L (p2) to L (q) for p1, p2 a (1,a), q a (0,a) and 1/q = 1/p1 + 1/p2 - (alpha + beta)/n.