Carleson measures and the range of a Cesàro-like operator acting on $H^{\infty }$

Abstract

In this paper, by describing characterizations of Carleson type measures on $[0,1)$, we determine the range of a Cesàro-like operator acting on $H^{\infty }$. A special case of our result gives an answer to a question posed by P. Galanopoulos, D. Girela and N. Merchán recently.