Factorization of Bloch mappings through a Hilbert space
Complex Variables
2024-11-18 v3 Functional Analysis
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.
Keywords
Cite
@article{arxiv.2311.08800,
title = {Factorization of Bloch mappings through a Hilbert space},
author = {M. G. Cabrera-Padilla and A. Jiménez-Vargas and D. Ruiz-Casternado},
journal= {arXiv preprint arXiv:2311.08800},
year = {2024}
}
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17 pages