Weighted Bergman Spaces Induced by Rapidly Increasing WeightsAuthor :
Paperback
Published : Thursday 30 January 2014
Description
This monograph is devoted to the study of the weighted Bergman space $A^p_\omega$ of the unit disc $\mathbb D $ that is induced by a radial continuous weight $\omega$ satisfying $\lim_ r\to 1^- \frac \int_r^1\omega(s)\,ds \omega(r)(1-r) =\infty.$ Every such $A^p_\omega$ lies between the Hardy space $H^p$ and every classical weighted Bergman space $A^p_\alpha$.
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