Weighted Sub-Bergman Hilbert spaces in the unit ball of ℂn

In this note, we study defect operators in the case of holomorphic functions of the unit ball of ℂn. These operators are built from weighted Bergman kernel with a holomorphic vector. We obtain a description of sub-Hilbert spaces and we give a sufficient condition so that theses spaces are the same....

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Bibliographic Details
Main Authors: Rososzczuk Renata, Symesak Frédéric
Format: Article
Language:English
Published: De Gruyter 2020-09-01
Series:Concrete Operators
Subjects:
Online Access:https://doi.org/10.1515/conop-2020-0103