| Date | Speaker | Topic |
|---|---|---|
| May 4 last spring meeting |
Bob Burckel | Interpolation at a cluster point -- constructive method. |
| April 27 |
Olena Ostapyuk | Interpolating sequences (continued): Statement of Carleson's theorem, examples, start proof of Carleson's theorem. |
| April 20 |
Mark Shaw, Olena Ostapyuk |
Hp spaces in the upper half plane
(factorization). Introduction to interpolating sequences in the upper half plane. |
| April 13 |
Mark Shaw | Hp spaces in the upper half plane (continued). |
| April 6 |
Mark Shaw | Hp spaces in the upper half plane. (Poisson kernel in the upper half plane, two analogues of results in the unit disk - see chapter 6 in Koosis.) |
| March 30 |
Bob Burckel | Polynomial and rational approximation of holomorphic functions -- Runge theory (continued from the Analysis Seminar meeting of 8 March.) Lusin's radially-null function from Mergelyan. |
| March 16 |
Dmitry Ryabogin | We will begin our discussion of the Calderon-Zygmund decomposition and how it relates to the material we've been studying. This talk concluded in the Analysis Seminar (3/29). |
| March 9 |
Mariangel Alfonseca | We will introduce the the Hardy-Littlewood maximal function (Lp estimates, Riesz rising sun lemma). |
| March 2 |
Xiang Fang | We will finish discussing a proof of the canonical factorization theorem for Hp functions (Section D of Chapter 4) and then look at an example relating factorization to shift operators. |
| Feb. 23 |
Xiang Fang | Xiang Fang will present a proof of the canonical factorization theorem for Hp functions. (Section D of Chapter 4). |
| Feb. 16 |
Xiang Fang | Xiang Fang will state the canonical factorization theorem for Hp functions and will then give an introduction to shift operators. |
| Feb. 9 |
Drew Cousino Xiang Fang |
Drew will conclude our discussion of
factoring out Blaschke products. Xiang Fang will extend some results discussed for H1 functions last semester to the Hp case by factoring out Blaschke products. (Section C of Chapter 4). |
| Feb. 2 |
Drew Cousino | Drew will summarize properties of Blaschke products and then discuss factoring a Hp function into the product of a Hp function without zeros in the unit disk and a Blaschke product. (Sections A and B of Chapter 4). |
| Jan. 26 |
Chuck Moore | Chuck Moore will summarize the material we studied last semester. This includes topics such as the Poisson kernel, boundary properties of functions harmonic in the unit disk, the F. and M. Riesz theorem, some basic properties of H1, and a little about Blaschke products. |