Blaschke products with derivative in function spaces

Details Blaschke products with derivative in function spaces Blaschke products with derivative in function spaces

2010-01-28

arxiv.org/abs/1001.5098v3

Mathematics

Complex Variables

Clarified a few points. Accepted for publication in the Kodai Mathematical Journal

Scientific paper

Let $B$ be a Blaschke product with zeros $\{a_n\}$. If $B' \in A^p_{\alpha}$
for certain $p$ and $\alpha$, it is shown that $\sum_n (1 - |a_n|)^{\beta} <
\infty$ for appropriate values of $\beta$. Also, if $\{a_n\}$ is uniformly
discrete and if $B' \in H^p$ or $B' \in A^{1+p}$ for any $p \in (0,1)$, it is
shown that $\sum_n (1 - |a_n|)^{1-p} < \infty$.

Affiliated with

Also associated with

No associations

Rating

Blaschke products with derivative in function spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Blaschke products with derivative in function spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Blaschke products with derivative in function spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-254124