Standard

Majorization in de Branges spaces. III. Division by Blaschke products. / Baranov, A.; Woracek, H.

в: St. Petersburg Mathematical Journal, Том 21, 2010, стр. 843-875.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Baranov, A & Woracek, H 2010, 'Majorization in de Branges spaces. III. Division by Blaschke products', St. Petersburg Mathematical Journal, Том. 21, стр. 843-875. https://doi.org/10.1090/S1061-0022-2010-01122-1

APA

Baranov, A., & Woracek, H. (2010). Majorization in de Branges spaces. III. Division by Blaschke products. St. Petersburg Mathematical Journal, 21, 843-875. https://doi.org/10.1090/S1061-0022-2010-01122-1

Vancouver

Baranov A, Woracek H. Majorization in de Branges spaces. III. Division by Blaschke products. St. Petersburg Mathematical Journal. 2010;21:843-875. https://doi.org/10.1090/S1061-0022-2010-01122-1

Author

Baranov, A. ; Woracek, H. / Majorization in de Branges spaces. III. Division by Blaschke products. в: St. Petersburg Mathematical Journal. 2010 ; Том 21. стр. 843-875.

BibTeX

@article{825fe11d5c81443e8e87c3aa9b3aadf2,
title = "Majorization in de Branges spaces. III. Division by Blaschke products",
abstract = "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.",
keywords = "de Branges subspace, majorant, subharmonic function, Blaschke product",
author = "A. Baranov and H. Woracek",
year = "2010",
doi = "10.1090/S1061-0022-2010-01122-1",
language = "не определен",
volume = "21",
pages = "843--875",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",

}

RIS

TY - JOUR

T1 - Majorization in de Branges spaces. III. Division by Blaschke products

AU - Baranov, A.

AU - Woracek, H.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - de Branges subspace

KW - majorant

KW - subharmonic function

KW - Blaschke product

U2 - 10.1090/S1061-0022-2010-01122-1

DO - 10.1090/S1061-0022-2010-01122-1

M3 - статья

VL - 21

SP - 843

EP - 875

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

ER -

ID: 5361806