Factorization of Bloch mappings through a Hilbert space
arXiv:2311.08800
Abstract
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 such Bloch mappings equipped with a natural norm: linearization, Bloch transposition, surjective and injective Banach ideal property, Kwapien-type characterization by Bloch domination, and duality.
17 pages