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On the Lp-differentiability of certain classes of functions

Date Issued
2014-01-01
Author(s)
Alberti, Giovanni
Bianchini, Stefano
Crippa, Gianluca  
DOI
10.4171/rmi/782
Abstract
We prove the L-P-differentiability at almost every point for convolution products on R-d of the form K*mu, where mu is bounded measure and K is a homogeneous kernel of degree 1 - d. From this result we derive the L-P-differentiability for vector fields on R-d whose curl and divergence are measures, and also for vector fields with bounded deformation.
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20131008151437_5254053d45956.pdf

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