Analysis Seminar: How to interpolate linear operators
Tuesday, February 4, 2020 - 9:09am

Friday, February 7, 2-3 PM in FMH 462

Joel Shapiro will speak on: How to interpolate linear operators

Abstract: One of the most surprising and useful results in present-day analysis is the “Riesz-ThorinInterpolation Theorem,” a special case of which asserts (roughly) that whenever a linear transformation is bounded on LpLp for two different values of pp then it is also bounded on LpLp for every intermediate value of pp. In this talk we’ll discuss this remarkable theorem in its full generality, and show how it gives unified proofs of some classical inequalities from real analysis, Fourier series, and integral operators.