A. Brudnyi, Y. Brudnyi, “Linear and nonlinear extensions of Lipschitz functions from subsets of metric spaces”, Алгебра и анализ, 2007, том 19, выпуск 3,страницы 106

Эта публикация цитируется в 9 статьях

Статьи

Linear and nonlinear extensions of Lipschitz functions from subsets of metric spaces

A. Brudnyi^a, Y. Brudnyi^b

^a Department of Mathematics and Statistics, University of Calgary, Calgary, Canada
^b Department of Mathematics, Technion, Haifa, Israel

Аннотация: A relationship is established between the linear and nonlinear extension constants for Lipschitz functions defined on subsets of metric spaces. Proofs of several results announced in our earlier paper are presented.

Ключевые слова: Lipschitz function, linear extension operator, Banach space.

MSC: 54E40

Поступила в редакцию: 20.04.2006

Язык публикации: английский