Description of Bloch spaces, weighted Bergman spaces and invariant subspaces, and related questions

Let D be the unit disc of complex plane C, and H=Hol(D) the class of functions analytic in D. Recall that an f∈Hol(D) is said to belong to the Bloch space B=B(D) if ‖f‖_{B}:=sup_{z∈D}(1-|z|²)|f′(z)|<+∞. With the norm ‖f‖=|f(0)|+‖f‖_{B}, B is Banach space. Let B₀=B₀(D) be the Bloch space which co...

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Bibliographic Details

Published in:	Kuwait Journal of Science
Main Authors:	Mübariz T. Garayev, Mehmet Gürdal, Ulaş Yamancı
Format:	Article
Language:	English
Published:	Elsevier 2016-08-01
Subjects:	Berezin symbol Bloch space diagonal operator invariant subspace weighted Bergman space.
Online Access:	https://journalskuwait.org/kjs/index.php/KJS/article/view/1020