Abstract
In this paper, for \(p>1\) and \(s>1\), we characterize completely the boundedness and compactness of a Cesàro-like operator from the Besov space \(B_p\) into a Banach space X between the mean Lipschitz space \(\Lambda ^s_{1/s}\) and the Bloch space. In particular, for \(p=s=2\), we complete a previous result from the literature.
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The authors thank the referees very much for their valuable comments.
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The work was supported by National Natural Science Foundation of China (No. 12271328), Guangdong Basic and Applied Basic Research Foundation (No. 2022A1515012117), and China Postdoctoral Science Foundation (No. 2023TQ0074).
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Sun, F., Ye, F. & Zhou, L. A Cesàro-like Operator from Besov Spaces to Some Spaces of Analytic Functions. Comput. Methods Funct. Theory (2024). https://doi.org/10.1007/s40315-024-00542-7
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DOI: https://doi.org/10.1007/s40315-024-00542-7