A Characterization of Dirichlet-inner Functions

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A Characterization of Dirichlet-inner Functions

Author(s): Seco Forsnacke, Daniel
Publisher: Springer
Issued date: 2019-06-01
Citation: Seco, D. (2019). A Characterization of Dirichlet-inner Functions. Complex Analysis and Operator Theory, 13(4), pp. 1653–1659.
ISSN: 1661-8254
DOI: https://doi.org/10.1007/s11785-018-0786-5
xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Economía y Competitividad (España)
Project: Gobierno de España. MTM2014-52865-P
Gobierno de España. SEV-2015-0554
Keywords: Dirichlet spaces , Inner functions , Multipliers
URI: http://hdl.handle.net/10016/32625
Rights: © 2018, Springer International Publishing AG, part of Springer Nature

Abstract:

We study a concept of inner function suited to Dirichlet-type spaces. We characterize Dirichlet-inner functions as those for which both the space and multiplier norms are equal to 1. [+]

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