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math.CV2023
Factorization of Bloch mappings through a Hilbert space
M. G. Cabrera-Padilla, A. Jiménez-Vargas, D. Ruiz-Casternado
We introduce the concept of vector-valued holomorphic mappings on the complex unit disc that factor through a Hilbert space and state the main properties of the space formed by suc…
math.CV2023
Compact Bloch mappings on the complex unit disc
A. Jiménez-Vargas, D. Ruiz-Casternado
The known duality of the space of Bloch complex-valued functions on the open complex unit disc is addressed under a new approach with the introduction of the concepts…