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

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 Bp into a Banach space X between the mean Lipschitz space Λ1/ss and the Bloch space. In particular, for p=s=2, we complete a previous result from the litera...

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Bibliographic Details
Published in:Computational methods and function theory Vol. 25; no. 3; pp. 553 - 568
Main Authors: Sun, Fangmei, Ye, Fangqin, Zhou, Liuchang
Format: Journal Article
Language:English
Published: Heidelberg Springer Nature B.V 01.09.2025
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ISSN:1617-9447, 2195-3724
Online Access:Get full text
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Summary: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 Bp into a Banach space X between the mean Lipschitz space Λ1/ss and the Bloch space. In particular, for p=s=2, we complete a previous result from the literature.
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ISSN:1617-9447
2195-3724
DOI:10.1007/s40315-024-00542-7