In this talk, we establish a sharp off-diagonal pointwise upper estimate for the Bergman reproducing kernel associated with a radial weight on the unit disc that satisfies a natural one-sided doubling condition on its moments. The standard kernels demonstrate that this estimate is sharp, up to a multiplicative constant, at every point. We further show that the estimate in fact characterizes the class of radial doubling weights under consideration. Several applications of this estimate are also discussed. The main part of this talk is based on the joint work with A. Pennanen, J. Rättyä and F. Wu.