New estimates for the minimal L2 solution of (partial derivative)over-bar and applications to geometric function theory in weighted Bergman spaces

We introduce new twisting techniques to establish new estimates for the minimal L-2 solution of (partial derivative) over bar on weighted Bergman spaces in the unit ball. The estimate is used to obtain off-diagonal decay bounds for the associated Bergman kernel, and also improve sup-norm estimates obtained some time ago by Berndtsson.