Carleson measures and the range of a Ces\`aro-like operator acting on H∞

Abstract

In this paper, by describing characterizations of Carleson type measures on [0,1), we determine the range of a Ces\`aro-like operator acting on H∞. A special case of our result gives an answer to a question posed by P. Galanopoulos, D. Girela and N. Merch\'an recently.

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