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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Vydáno v:Computational methods and function theory Ročník 25; číslo 3; s. 553 - 568
Hlavní autoři: Sun, Fangmei, Ye, Fangqin, Zhou, Liuchang
Médium: Journal Article
Jazyk:angličtina
Vydáno: Heidelberg Springer Nature B.V 01.09.2025
Témata:
Analytic functions
Banach spaces
Function space
Operators (mathematics)
ISSN:1617-9447, 2195-3724
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1617-9447
2195-3724
DOI:10.1007/s40315-024-00542-7