Volterra integration operators from Hardy-type tent spaces to Hardy spaces

Abstract

In this paper, we completely characterize the boundedness and compactness of the Volterra integration operators J_{g} acting from the Hardy-type tent spaces to the Hardy spaces in the unit ball of for all 0< p,q,t<infty and alpha >-n-1. The duality and factorization techniques for tent spaces of sequences play an important role in the proof of the main results.