题目：Sobolev classes of functions with values in a monotone one-dimentional family of Banach spaces
报告人：Nikita Evseev（新西伯利亚国立大学）
时间：8月25日，16:00-17:00
地点：格物楼522学术报告厅
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. To define weak derivatives we introduce a notion of local Bochner integral. Then the basic properties of Sobolev functions are revised. Particularly we provide the characterization of Sobolev functions in terms of an upper gradient.
