We construct an infinite uniform Frostman Blaschke product B such that B ∘ B is also a uniform Frostman Blaschke product. We also show that the set of uniform Frostman Blaschke products is open in the set of inner functions with the uniform norm.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm219-2-7,
author = {John R. Akeroyd and Pamela Gorkin},
title = {On the composition of Frostman Blaschke products},
journal = {Studia Mathematica},
volume = {215},
year = {2013},
pages = {177-191},
zbl = {1291.30259},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm219-2-7}
}
John R. Akeroyd; Pamela Gorkin. On the composition of Frostman Blaschke products. Studia Mathematica, Tome 215 (2013) pp. 177-191. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm219-2-7/