We extend the method of using Bergman projections for solving extremal
problems introduced by Ferguson to systematically compute extremal 
functions
in weighted Bergman-Besov spaces at arbitrary data points in the unit 
disc.
We include the case p=1 by first proving the existence of solutions to
a large class of extremal problems in this case.
We also develop expansions of analytic functions in terms of Mobius 
factors
similar to Taylor series to handle data points different from the 
origin.
Our method is especially suitable for Caratheodory-Fejer-type 
interpolation.

This is joint work with my students A. Balci and R. Ozbek.