Summary: Speaker: Idris Assani, Dept of Mathematics, University of North Carolina at Chapel Hill,
Title: On A. Zygmund's differentiation conjecture
Abstract:
The fundamental theorem of calculus provides a differentiation mechanism for con-
tinuous real valued functions. A first generalization is given by Lebesgue theorem which
states that for a.e. x R for each L1
function f we have
lim
t0
1
2t
t
-t
f(x + u)du = f(x).
Consider a bounded measurable vector field v on Rn
and a function F defined also on Rn
.
When can we say that for almost every x Rn
lim
t0

Source: Assani, Idris - Department of Mathematics, University of North Carolina at Chapel Hill

Collections: Mathematics