One and Two Weight Theory in Harmonic Analysis

Analysis Seminar
Wednesday, January 30, 2013 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 005
James Scurry – Georgia Tech
Brett Wick
We will study one and two weight inequalities for several different operators from harmonic analysis, with an emphasis on vector-valued operators. A large portion of current research in the area of one weight inequalities is devoted to estimating a given operators' norm in terms of a weight's A_p characteristic; we consider some related problems and the extension of several results to the vector-valued setting. In the two weight setting we consider some of the difficulties of characterizing a two weight inequality through Sawyer-type testing conditions.