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Differentiation and integration operators on weighted Banach spaces of holomorphic functions
Author(s) -
Abanin Alexander V.,
Tien Pham Trong
Publication year - 2017
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201500405
Subject(s) - mathematics , holomorphic function , banach space , class (philosophy) , pure mathematics , algebra over a field , computer science , artificial intelligence
We obtain a new natural description of the class of radial weights for which some previous results of A. Harutyunyan and W. Lusky concerning the boundedness of differentiation and integration operators on corresponding spaces are valid. To do this, we develop an elementary approach which is essentially different from the previous one and allows us to establish several new results and new characterizations of some popular classes of radial weights.