Corona Theorems for Multiplier Algebras on $ B_n$

Lundi 25 mai 2009 14:00-15:00 - Wick Brett - Univ. South Carolina

Résumé : Carleson’s Corona Theorem from the 1960’s has served as a major motivation for many results in complex function theory, operator theory and harmonic analysis. In its simplest form, the result states that for two bounded analytic functions, $f_1$ and $f_2$, on the unit disc with no common zeros, it is possible to find two other bounded analytic functions, $g_1$ and $g_2$, such that $f_1g_1+f_2g_2=1$. Moreover, the functions $g_1$ and $g_2$ can be chosen with some norm control.
In this talk we will discuss an exciting new generalization of this result to certain function spaces on the unit ball in several complex variables.

Lieu : bât. 425 - 113-115

Corona Theorems for Multiplier Algebras on $ B_n$  Version PDF