Seminar series
Date
Mon, 17 Feb 2014
Time
17:00 -
18:00
Location
L6
Speaker
Christoph Thiele
Organisation
University of Bonn
An old conjecture by A. Zygmund proposes
a Lebesgue Differentiation theorem along a
Lipschitz vector field in the plane. E. Stein
formulated a corresponding conjecture about
the Hilbert transform along the vector field.
If the vector field is constant along
vertical lines, the Hilbert transform along
the vector field is closely related to Carleson's
operator. We discuss some progress in the area
by and with Michael Bateman and by my student
Shaoming Guo.