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A. Baranov, H. Woracek:
"Majorization in de Branges spaces III. division by Blaschke products";
in: "ASC Report 38/2009", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2009, ISBN: 978-3-902627-02-5.

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 up-
per half-plane. In the present, third, part we continue our study of a
certain Banach space generated by an admissible majorant. The main
theme is "invariance of the unit ball with respect to division by Blaschke
products". In connection with this topic representability by means of spe-
cial types of majorants plays an important role. We obtain some (positive
and negative) results on invariance when dividing by Blaschke factors,
and characterize those unit balls representable by log-superharmonic ma-
jorants.

de Branges subspace, majorant, subharmonic function, Blaschke

http://www.asc.tuwien.ac.at/preprint/2009/asc38x2009.pdf