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On Pisier’s inequality for UMD targets

Published online by Cambridge University Press:  15 June 2020

Alexandros Eskenazis*
Affiliation:
Institut de Mathématiques de Jussieu, Sorbonne Université, 4, Place Jussieu, 75252 Paris Cedex 05, France

Abstract

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.

Type
Article
Copyright
© Canadian Mathematical Society 2020

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Footnotes

The author was supported by a postdoctoral fellowship of the Fondation Sciences Mathématiques de Paris.

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