地点：行健楼学术活动室526
邀请人：黄益 副教授
报告摘要：We study the class of Sobolev functions from a one-dimensional interval into
a measurable family of Banach spaces. Namely, the class is closely related to the
Lp-direct integral. First we define Sobolev functions in terms of upper gradient
(just as in metric case). Then with the help of local Bochner integral we introduce
a weak derivative for function valued in a family of Banach spaces. This is a joint
work with Alexander Menovschikov (Novosibirsk State University).