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

Guanlong Bao; Fangmei Sun; Hasi Wulan

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arXiv · 2204.01406

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

Guanlong Bao·Fangmei Sun·Hasi Wulan

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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 $H^\infty$. 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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Guanlong Bao, Fangmei Sun, Hasi Wulan. 2022-04-04. Carleson measures and the range of a Ces\`aro-like operator acting on $H^\infty$. https://arxiv.org/abs/2204.01406

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