Mean growth of the derivative of a Blaschke product
Protas, David
Kodai Math. J., Tome 27 (2004) no. 1, p. 354-359 / Harvested from Project Euclid
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If $B$ is a Blaschke product with zeros $\{a_n\}$ and if $\sum_n(1-|a_n|)^{\alpha}$ is finite for some $\alpha \in (1/2,1]$, then limits are found on the rate of growth of $\int_0^{2\pi} |B'(re^{it}|^p\, dt$ in agreement with a known result for $\alpha \in (0,1/2)$. Also, a converse is established in the case of an interpolating Blaschke product, whenever $0<\alpha<1$.
Publié le : 2004-10-14
Classification:  
@article{1104247356,
     author = {Protas, David},
     title = {Mean growth of the derivative of a Blaschke product},
     journal = {Kodai Math. J.},
     volume = {27},
     number = {1},
     year = {2004},
     pages = { 354-359},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1104247356}
}

Protas, David. Mean growth of the derivative of a Blaschke product. Kodai Math. J., Tome 27 (2004) no. 1, pp.  354-359. http://gdmltest.u-ga.fr/item/1104247356/