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Full-Text Articles in Physical Sciences and Mathematics
Adjoints Of Rationally Induced Composition Operators On Bergman And Dirichlet Spaces, Aliakbar Goshabulaghi, Hamid Vaezi
Adjoints Of Rationally Induced Composition Operators On Bergman And Dirichlet Spaces, Aliakbar Goshabulaghi, Hamid Vaezi
Turkish Journal of Mathematics
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.
Essential Norms Of Weighted Composition Operators Between Zygmund-Type Spaces And Bloch-Type Spaces, Amir Hossein Sanatpour, Mostafa Hassanlou
Essential Norms Of Weighted Composition Operators Between Zygmund-Type Spaces And Bloch-Type Spaces, Amir Hossein Sanatpour, Mostafa Hassanlou
Turkish Journal of Mathematics
We investigate the boundedness of weighted composition operator u C_{\varphi} mapping the Zygmund-type space Z^{\alpha} into the Bloch-type space B^{\beta}. Then we give essential norm estimates of such an operator in terms of u and \varphi.