Inserted: 26 mar 2011
In this paper we will present some results about functions having derivatives in the $L^1$ sense, according to the definition of Calderon-Zygmund ("Local properties of solutions of elliptic PDE", Studia Math. 20, 171-225 (1961)). In particular we prove that these functions behave nicely with respect to a certain non-homogeneous blow-up related to the generalized Taylor polynomial.
Keywords: functions with summable derivatives, blow-up of graphs