Adjoints of rationally induced composition operators on Bergman and Dirichlet spaces
Author(s) -
Aliakbar Goshabulaghi,
Hamid Vaezi
Publication year - 2014
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1402-48
Subject(s) - mathematics , composition (language) , hardy space , pure mathematics , connection (principal bundle) , bounded function , bergman kernel , dirichlet distribution , variety (cybernetics) , bergman space , operator theory , algebra over a field , mathematical analysis , linguistics , statistics , geometry , philosophy , boundary value problem
We will state a connection between the adjoints of a vast variety of bounded operators on 2 different weighted Hardy spaces. We will apply it to determine the adjoints of rationally induced composition operators on Dirichlet and Bergman spaces.
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