Smoothness of finite-dimensional images of measures
type: Item
instance of: scholarly article
title: Smoothness of finite-dimensional images of measures
zbMATH Open document ID: 0688.46024
DOI: 10.1007/BF01060394
published in: Ukrainian Mathematical Journal
publication date: 1989-01-01T00:00:00Z
review text: The author investigates measures on Banach spaces with Hilbert-Schmidt structures and their logarithmic derivatives along vector fields in the sense of \textit{Yu. L. Daletskij} and \textit{B. D. Maryanin} [see Sov. Math. Dokl. 32, 863-866 (1985; Zbl 0632.58015)]. Conditions for existence of a smooth density of a finite dimensional image of those measures are derived from estimates of the logarithmic derivative.
Mathematics Subject Classification ID: 46G12
Mathematics Subject Classification ID: 58C35
zbMATH DE Number: 4127909
zbMATH Keywords: Banach manifold
zbMATH Keywords: smooth measures
zbMATH Keywords: measures on Banach spaces with Hilbert- Schmidt structures
zbMATH Keywords: logarithmic derivatives along vector fields
zbMATH Keywords: existence of a smooth density
author: Victoria Steblovskaya
reviewed by: Rimas Norvaiša
MaRDI profile type: Publication
cites work: Q3769649
cites work: Q3766580
full work available at URL: https://doi.org/10.1007/bf01060394
OpenAlex ID: W1974580770
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description: scientific article; zbMATH DE number 4127909