• Help

# Weighted Bergman Spaces Induced by Rapidly Increasing Weights - Memoirs of the American Mathematical Society (Paperback)

(author), (author)
£69.50
Paperback 124 Pages / Published: 30/01/2014
• We can order this

Usually despatched within 2 weeks

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 $A^p_\omega$.

Publisher: American Mathematical Society
ISBN: 9780821888025
Number of pages: 124
Dimensions: 254 x 178 x 6 mm

## You may also be interested in...

£19.95
Paperback
£30.99
Paperback
£24.95
Paperback
£52.99
Paperback
£19.99
Paperback
£39.99
Hardback
£54.99
Paperback
£9.99
Paperback
£14.99
Paperback
£14.99
Paperback
£29.99
Paperback
£11.99
Paperback
£71.99
Mixed media product
£16.99
Paperback