文摘
Given and , we consider the set of rational functions of degree at most n with no poles in , where is the unit disc of the complex plane. We give an asymptotically sharp Bernstein-type inequality for functions in in weighted Bergman spaces with ¡°sub-polynomially¡± decreasing weights. We also prove that this result cannot be extended to weighted Bergman spaces with ¡°super-polynomially¡± decreasing weights.