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On the Lp-differentiability of certain classes of functions

TitleOn the Lp-differentiability of certain classes of functions
Publication TypeJournal Article
Year of Publication2014
AuthorsAlberti, G, Bianchini, S, Crippa, G
Abstract

We prove the Lp-differentiability at almost every point for convolution products on ℝd of the form K*μ, where μ is bounded measure and K is a homogeneous kernel of degree 1-d. From this result we derive the Lp-differentiability for vector fields on R d whose curl and divergence are measures, and also for vector fields with bounded deformation.

URLhttp://urania.sissa.it/xmlui/handle/1963/34695
DOI10.4171/rmi/782

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