On Pisier’s inequality for UMD targets
Canadian mathematical bulletin, Tome 64 (2021) no. 2, pp. 282-291
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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.
Mots-clés :
Pisier’s inequality, Banach space valued martingale, UMD Banach space
Eskenazis, Alexandros. On Pisier’s inequality for UMD targets. Canadian mathematical bulletin, Tome 64 (2021) no. 2, pp. 282-291. doi: 10.4153/S0008439520000442
@article{10_4153_S0008439520000442,
author = {Eskenazis, Alexandros},
title = {On {Pisier{\textquoteright}s} inequality for {UMD} targets},
journal = {Canadian mathematical bulletin},
pages = {282--291},
year = {2021},
volume = {64},
number = {2},
doi = {10.4153/S0008439520000442},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000442/}
}
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