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Эта публикация цитируется в 5 научных статьях (всего в 5 статьях)
Статьи
Majorization in de Branges spaces. III. Division by Blaschke products
A. Baranova, H. Woracekb a Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia
b Institut für Analysis und Scientific Computing, Technische Universität Wien, Wien, Austria
Аннотация:
This paper is a part of a series dealing with subspaces of de Branges spaces of entire functions generated by majorization on subsets of the closed upper half-plane. In the present, third, part the study of a certain Banach space generated by an admissible majorant is continued. The main theme is “invariance of the unit ball with respect to division by Blaschke products”. In connection with this topic, representability via special types of majorants plays an important role. Some (positive and negative) results on invariance under division by Blaschke factors are obtained, and the unit balls representable by $\log$-superharmonic majorants are characterized.
Ключевые слова:
de Branges subspace, majorant, subharmonic function, Blaschke product.
Поступила в редакцию: 22.09.2009
Образец цитирования:
A. Baranov, H. Woracek, “Majorization in de Branges spaces. III. Division by Blaschke products”, Алгебра и анализ, 21:6 (2009), 3–46; St. Petersburg Math. J., 21:6 (2010), 843–875
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/aa1161 https://www.mathnet.ru/rus/aa/v21/i6/p3
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