Title: Sobolev space of vector/metric valued functions
Speaker: Nikita Evseev（Harbin Institute of Technology）
Time: Thursday, November 24, 14:00-15:00
Location: B201-2, Mingde Building
Abstract: We are concerned here with Sobolev-type space of functions valued in Banach space or in metric space. We review two ways of defining Sobolev maps valued in metric space: Reshetnyak’s approach vs deffinition via postcomposition with the Kuratowski embedding. In particular, we show that Sobolev map with values in dual-to-separable Banach space can be described in terms of classical weak derivatives in a weak* sense.
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