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On the Existence of Radial Limits Cover

Abstract

We discuss conditions that ensure the existence of radial limits a.e. for harmonic functions defined on the unit disc D. We give an example of a Banach-valued harmonic function without radial limits at almost every point on the boundary of D.

DOI: https://doi.org/10.2478/tmmp-2014-0005 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 47 - 51
Submitted on: Jul 24, 2013
Published on: Aug 15, 2014
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2014 Martha Guzmán-Partida, Carlos Robles-Corbala, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.