One of the main tools in geometric function theory is the fact that the area formula is true for Lipschitz mapping; if f is differentiable a.e. (in the classic sense) then f can be exhausted up to a set of zero measure; the restriction of f, set by set, is Lipschitz [6, Theorem 3.18]. The aim of this survey is to clarify the regularity assumptions for a map to be differentiable a.e., and to give some auxiliary results when it is not, using the notion of approximate differentiability.
|Titolo:||Differentiability versus approximate differentiability|
D'ONOFRIO, LUIGI (Corresponding)
|Data di pubblicazione:||2018|
|Appare nelle tipologie:||1.1 Articolo in rivista|