Weak Factorization of Hardy Spaces in the Bessel Setting

摘要

We provide the weak factorization of the Hardy spaces H-p((+), dm) in the Bessel setting, for p(2+12+21]. As a corollary we obtain a characterization of the boundedness of the commutator [b,R] from L-q((+), dm) to L-r((+), dm) when b Lip((+), dm) provided that =. The results are an adaptation and modification of the work of Duong, Li, Yang, and the second named author, which only considered the case of p = 1, which in turn are based on modifications and adaptations of work by Uchiyama.