Majorization in the Bergman space

We will discuss some generalizations of the zero condition as well as investigate the extent to which we are able to extend Korenblum's method to the general Ap space. Next, we will approach the problem of improving c using the series representation of the Bergman norm. We obtain a domination result under an additional condition on the Taylor coefficients of the functions under consideration. Finally, some sharp values of the inner radius of the annulus of majorization are determined in the case that one of the functions in question is a monomial.