A Cesàro-like Operator from Besov Spaces to Some Spaces of Analytic Functions

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2024年5月15日

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Fangmei Sun,
Fangqin Ye,
Liuchang Zhou

摘要

In this paper, for $p>1$ $p > 1$ and $s>1$ $s > 1$ , we characterize completely the boundedness and compactness of a Cesàro-like operator from the Besov space $B_p$ $B_{p}$ into a Banach space X between the mean Lipschitz space $\Lambda ^s_{1/s}$ $Λ_{1 / s}^{s}$ and the Bloch space. In particular, for $p=s=2$ $p = s = 2$ , we complete a previous result from the literature.