On the L-differentiability of certain classes of functions

نویسندگان

  • Giovanni Alberti
  • Stefano Bianchini
  • Gianluca Crippa
  • G. Alberti
  • S. Bianchini
  • G. Crippa
چکیده

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

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تاریخ انتشار 2011