The Product-Type Operators from Hardy Spaces into nth Weighted-Type Spaces

Abstract

The main goal of this paper is to investigate the boundedness and essential norm of a class of product-type operators $\left(T_{u,v,\phi }^m,m\in \mathbb{N}\right)$ from Hardy spaces into $n$th weighted-type spaces. As a corollary, we obtain some equivalent conditions for compactness of such operators.