On Pisier’s inequality for UMD targets

We prove an extension of Pisier’s inequality (1986) with a dimension-independent constant for vector-valued functions whose target spaces satisfy a relaxation of the UMD property.

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Bibliographic Details
Published in:Canadian mathematical bulletin 2021-06, Vol.64 (2), p.282-291
Main Author: Eskenazis, Alexandros
Format: Article
Language:English
Subjects:
Banach spaces
Inequality
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Description
Summary:We prove an extension of Pisier’s inequality (1986) with a dimension-independent constant for vector-valued functions whose target spaces satisfy a relaxation of the UMD property.
ISSN:0008-4395
1496-4287
DOI:10.4153/S0008439520000442