English

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

Complex Variables 2022-04-05 v1

Abstract

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

Keywords

Cite

@article{arxiv.2204.01406,
  title  = {Carleson measures and the range of a Ces\`aro-like operator acting on $H^\infty$},
  author = {Guanlong Bao and Fangmei Sun and Hasi Wulan},
  journal= {arXiv preprint arXiv:2204.01406},
  year   = {2022}
}