TY - JOUR
T1 - On the Lp-differentiability of certain classes of functions
Y1 - 2014
A1 - Giovanni Alberti
A1 - Stefano Bianchini
A1 - Gianluca Crippa
AB - 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.
PB - European Mathematical Society
UR - http://urania.sissa.it/xmlui/handle/1963/34695
U1 - 34909
U2 - Mathematics
U4 - 1
U5 - MAT/05
ER -