## Speaker:

Dr. Devin Greene

## Institution:

UCI

## Time:

Tuesday, November 25, 2003 - 3:00pm

## Location:

MSTB 254

The contractive divisor property for Bergman spaces states

that

given a non-zero square-integrable holomorphic function f on the disc,

there exists a holomorphic function g such that f/g is holomorphic,

nowhere zero, and has square integral no greater than that of f. Recent

work by Aleman, Richter, and McCullough establishes this result via a

reproducing kernel approach. I will discuss the relevant articles.