Abstract
In this paper, we determine the range of a Cesàro-like operator acting on \(H^\infty \) by describing characterizations of Carleson type measures on [0, 1). A special case of our result gives an answer to a question posed by P. Galanopoulos, D. Girela and N. Merchán recently.
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The authors thank the anonymous referee very much for his/her valuable comments.
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The work was supported by NNSF of China (Nos. 11720101003 and 12271328) and Guangdong Basic and Applied Basic Research Foundation (No. 2022A1515012117).
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Bao, G., Sun, F. & Wulan, H. Carleson measures and the range of a Cesàro-like operator acting on \(H^\infty \). Anal.Math.Phys. 12, 142 (2022). https://doi.org/10.1007/s13324-022-00752-z
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DOI: https://doi.org/10.1007/s13324-022-00752-z