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Weighted Bergman spaces induced by rapidly increasing weights by Jose Angel Pelaez, Jouni Rattya is a nonfiction available to read on EtoBox.

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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 $A^p\_\alpha$. Even if it is well known that $H^p$ is the limit of $A^p\_\alpha$, as $\alpha\to-1$, in many respects, it is shown that $A^p\_\omega$ lies "closer" to $H^p$ than any $A^p\_\alpha$, and that several finer function-theoretic properties of $A^p\_\alpha$ do not carry over to $A^p\_\omega

Who reads Weighted Bergman spaces induced by rapidly increasing weights?

Author

Jose Angel Pelaez, Jouni Rattya

Publisher

American Mathematical Society

Published

2014

Language

EN

ISBN

9781470414276

Category

nonfiction

Subjects

Mathematics, Stem