Bi-parameter singular integrals: recent results and examples

Analysis Seminar
Wednesday, April 16, 2014 - 2:00pm
1 hour (actually 50 minutes)
Skiles 005
Georgia Tech
We discuss bi-parameter Calderon-Zygmund singular integrals from the point of view of modern probabilistic and dyadic techniques. In particular, we discuss their structure and boundedness via dyadic model operators. In connection to this we demonstrate, via new examples, the delicacy of the problem of finding a completely satisfactory product T1 theorem. Time permitting related non-homogeneous bi-parameter results may be mentioned.