Nonlinear Transformations of Smooth Measures on Infinite-Dimensional Spaces

• Datum: 2000
• Hauptverfasser: Kulik, A. M., Pilipenko, A. Yu., Кулик, А. М., Пилипенко, А. Ю.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2000
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4530
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We investigate the properties of the image of a differentiable measure on an infinitely-dimensional Banach space under nonlinear transformations of the space. We prove a general result concerning the absolute continuity of this image with respect to the initial measure and obtain a formula for densi...