Title: (Variable) Haar Multipliers through the lens of weighted inequalities

Abstract: (Variable) Haar multipliers are operators analogue to pseudo-differential operators, where the trigonometric basis has been replaced by the Haar basis. In this talk we are concerned with one and two-weight inequalities for a special class of Haar multipliers: the t-Haar multipliers. This is joint work with two former UNM students Daewon Chung from Keimyung University, Daegu, South Korea, and Jean Moraes from Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil, and with a graduate student Claire Huang and her advisor Brett Wick both from Washington University, St Louis, MO.

About the Speaker: María Cristina Pereyra is the chair of the Department of Mathematics & Statistics at the University of New Mexico.  Prior to joining the faculty at UNM, she held a position at Princeton University and a membership at the Institute for Advanced Study (IAS).  She received her Ph.D. in 1993 from Yale University under the direction of Peter Jones.  Professor Pereyra’s research interests are in harmonic analysis, particularly dyadic harmonic analysis and weighted theory.  Professor Pereyra has served as the PI on numerous grants which have supported the academic missions of the department including the New Mexico Analysis Seminars and the Mentoring Through Critical Transition Points (MCTP) awards.  Her research has been recognized internationally, including numerous invitations for plenary talks and mini-courses.  Prof. Pereyra recently completed a term as an At-Large Member of the AMS Council and received the 2012-13 Outstanding Teacher of the Year Award at UNM.