The Reciprocal Problem on Weighted Bergman Spaces

Guangfu Cao, Li He, Shuqing Zhang

We study the reciprocal problem for weighted Bergman spaces: if $f\in A_α^p(\Bn)$ and $\inf_{\Bn}|f|>0$, does it follow that $1/f\in A_α^p(\Bn)$? We determine the range of paramete…