Analytic version of critical Q spaces and their properties

In this paper, we establish an analytic version of critical spaces on unit disc , denoted by . Further, we prove a relation between and Morrey spaces. By the boundedness of two integral operators, we obtain a characterization of the multiplier spaces of .

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Bibliographic Details
Published in:Complex variables and elliptic equations 2015-10, Vol.60 (10), p.1327-1345
Main Authors: Li, Pengtao, Liu, Junming, Lou, Zengjian
Format: Article
Language:English
Subjects:
Carleson measure
Complex variables
critical analytic Q-space
Discs
fractional derivative
Integrals
Mathematical analysis
Morrey space
Multipliers
Operators
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Description
Summary:In this paper, we establish an analytic version of critical spaces on unit disc , denoted by . Further, we prove a relation between and Morrey spaces. By the boundedness of two integral operators, we obtain a characterization of the multiplier spaces of .
ISSN:1747-6933
1747-6941
DOI:10.1080/17476933.2015.1013949