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Nikita Evseev--Sobolev classes of functions with values in a monotone one-dimentional family of Banach spaces
发布人:尹智  发布时间:2018-08-21   浏览次数:22



Title: Sobolev classes of functions with values in a monotone one-dimentional family of Banach spaces


Speaker: Nikita Evseev, Novosibirsk State University


Time: 16:00-17:00, 25 August, Place: Room 522, Gewu Building


Abstract: 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.