Work

Bloch functions with wild boundary behavior in CN${\mathbb {C}}^N$

Year: 2025

Type: article

Abstract: We prove the existence of functions in the Bloch space of the unit ball of with the property that, given any measurable function on the unit sphere , there exists a sequence , , converging to 1, such that for every , The set of such functions is residual in the little Bloch space. A similar result is obtained for the Bloch space of the polydisc.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70055

Authors: Stéphane Charpentier, Nicolas Espoullier, Rachid Zarouf

Institutions: Centre National de la Recherche Scientifique, Aix-Marseille Université, Université de Toulon

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4409170694

FWCI:

Cites: 26

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Related to: 10