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arXiv · 2311.08800

Factorization of Bloch mappings through a Hilbert space

M. G. Cabrera-Padilla·A. Jiménez-Vargas·D. Ruiz-Casternado
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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.

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M. G. Cabrera-Padilla, A. Jiménez-Vargas, D. Ruiz-Casternado. 2023-11-15. Factorization of Bloch mappings through a Hilbert space. https://arxiv.org/abs/2311.08800

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