Factors of hypercontractions

Abstract

In this article, we study a class of contractive factors of\break m-hypercontractions for m∈N. We find a characterization of such factors and it is achieved by finding explicit dilations of these factors on certain weighted Bergman spaces. This is a generalization of the work done by {B.K. Das, S. Sarkar, J. Sarkar}, Factorization of contraction, \textit{Adv. in Math.} \textbf{322}(2017), 186--200.