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On Pisier’s inequality for UMD targets

Part of: Stochastic processes Nontrigonometric harmonic analysis Normed linear spaces and Banach spaces; Banach lattices

Published online by Cambridge University Press:  15 June 2020

Alexandros Eskenazis
Alexandros Eskenazis*
Affiliation:
Institut de Mathématiques de Jussieu, Sorbonne Université, 4, Place Jussieu, 75252 Paris Cedex 05, France
*
e-mail: [email protected]
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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.

Keywords

Pisier’s inequalityBanach space valued martingaleUMD Banach space

MSC classification

Primary: 46B07: Local theory of Banach spaces
Secondary: 46B85: Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science 42C10: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) 60G46: Martingales and classical analysis
Type
Article
Information
Canadian Mathematical Bulletin , Volume 64 , Issue 2 , June 2021 , pp. 282 - 291
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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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