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Extension of Lipschitz functions

✍ Scribed by J.-B Hiriart-Urruty

Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
722 KB
Volume
77
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

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Let ⍀ ; ‫ޒ‬ n be a non-empty bounded open and convex set and let f be a real function defined on the boundary of the set ⍀. A necessary and sufficient condition is given for f to be extendable to a convex and lipschitzian function defined on the whole space ‫ޒ‬ n . The solution u to the degenerate c

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In this paper we address some of the most fundamental questions regarding the differentiability structure of locally Lipschitz functions defined on separable Banach spaces. For example, we examine the relationship between integrability, D-representability, and strict differentiability. In addition t