Smoothness of finite-dimensional images of measures
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.
measures on Banach spaces with Hilbert- Schmidt structures
logarithmic derivatives along vector fields
scientific article; zbMATH DE number 4127909