"Three Problems for Weighted Bloch-Lipschitz Spaces
of Holomorphic Functions

on the Unit Ball"

By

** Abstract: **We consider weighted Bloch-Lipschitz spaces of holomorphic
functions on the

unit ball of the complex N-space. We concentrate on three problems on these spaces that can be solved for all values of their parameters. First, for each point in the ball and in each space, we determine the

unique extremal function maximizing the function values. Second, we prove that these spaces contain those generalized Möbius-invariant spaces that possess a decent linear functional. Third, we find new complete Hermitian metrics with which the functions in these spaces satisfy a Lipschitz-type inequality.

Tea and cookies will be served before the
seminar.

**Date: ****Thursday, December 10, 2009**

**Time: ****14.40**

**Place: ****Mathematics Seminar Room, SA-141**