Toggle Main Menu Toggle Search

Open Access padlockePrints

The Newcastle University research output collection, currently available on ePrints, will shortly be moving to a new open repository platform, Figshare. To prepare for the data migration we have paused adding new content to ePrints, and will resume once the new repository is launched. During this time you will continue to have access to ePrints (but no new content will appear). We will share updates here when available.

Traces of analytic uniform algebras on subvarieties and test collections

Lookup NU author(s): Dr Michael DritschelORCiD, Daniel Estevez Sanchez

Downloads

Full text for this publication is not currently held within this repository. Alternative links are provided below where available.

Abstract

Given a complex domain $\Omega$ and analytic functions $\varphi_1,\ldots,\varphi_n : \Omega \to \D$, we give geometric conditions for $H^\infty(\Omega)$ to be generated by functions of the form $g \circ \varphi_k$, $g \in H^\infty(\D)$. We apply these results to the extension of bounded functions on an analytic one-dimensional complex subvariety of the polydisk $\D^n$ to functions in the Schur-Agler algebra of $\D^n$, with an estimate on the norm of the extension. Our proofs use some extension of the techniques of separation of singularities by Havin, Nersessian and Ortega-Cerd\'a.

Publication metadata

Author(s): Dritschel MA, Estévez D, Yakubovich D

Publication type: Article

Publication status: Published

Journal: Journal of the London Mathematical Society

Year: 2017

Volume: 95

Issue: 2

Pages: 414-440

Print publication date: 01/04/2017

Online publication date: 15/01/2017

Acceptance date: 13/06/2016

ISSN (print): 0024-6107

ISSN (electronic): 1469-7750

Publisher: Wiley-Blackwell

URL: https://doi.org/10.1112/jlms.12003

DOI: 10.1112/jlms.12003

Altmetrics

Altmetrics provided by Altmetric

Share