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Texas A&M University

Hiring Candidate - Irina Holmes

Date: December 15, 2017

Time: 4:00PM - 5:00PM

Location: BLOC 220

Speaker: Irina Holmes, Michigan State University



Title: Two-weight inequalities for commutators


In this talk we describe a series of results characterizing the norm of the commutator [b, T] — where T is a Calderon-Zygmund operator and b is a BMO function — acting from one weighted space L^p(mu) to another weighted space L^p(lambda), where both mu and lambda are A_p weights. This is an extension to the difficult case of two-weights of a foundational result by Coifman, Rochberg and Weiss. We will discuss the first main result in this direction, dealing with the case of R^n, as well as later extensions to iterated commutators, fractional integral operators, and finally the extension to the multi-parameter case.