Szego Seminar: "Weak-type (1,1) bound for the Bergman projection"

Speaker: Cody Stockdale, Washington University in Saint Louis

Abstract: The Bergman space, L_a^2(D,dA),  is the set of analytic functions defined on the open unit disk in the complex plane which are square integrable with respect to area measure. It can be shown that the Bergman space is a closed subspace of L^2(D,dA), the set of all square integrable functions on the open unit disk. This implies that there exists an orthogonal projection P from L^2(D,dA) to L_a^2(D,dA) (P is called the Bergman projection). We will discuss mapping properties of the Bergman projection. In particular, we will prove that P satisfies the weak-type (1,1) inequality.

Host: Christopher Felder