This is an announcement for the paper “On Pisier's inequality for UMD targets” by Alexandros Eskenazishttps://arxiv.org/search/math?searchtype=author&query=Eskenazis%2C+A.
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.
The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/2002.10396