### Two weight estimates with matrix measures for well-localized operators

- Series
- Analysis Seminar
- Time
- Wednesday, August 31, 2016 - 14:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Amalia Culiuc – Georgia Tech – amalia@math.gatech.edu

In this talk we discuss two weight estimates for well-localized
operators acting on vector-valued function spaces with matrix weights.
We will show that the Sawyer-type testing conditions are necessary and
sufficient for the boundedness of this class of operators, which
includes Haar shifts and their various generalizations. More explicitly,
we will show that it is suficient to check the estimates of the operator and its adjoint only on characteristic
functions of cubes. This result generalizes the work of
Nazarov-Treil-Volberg in the scalar setting and is joint work with K.
Bickel, S. Treil, and B. Wick.