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Nikita Evseev——Sobolev classes of functions with values in a monotone one-dimentional family of Banach spaces
发布人:许全华  发布时间:2018-08-21   浏览次数:171



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.