Abstract
From the class of Dirichlet finite harmonic functions we proceed to other classes of harmonic functions related to certain boundedness properties. Two central ones are boundedness in absolute value and positiveness. Two derived boundedness properties, quasiboundedness and essential positiveness, will also be considered. These fall into the general category of Φ-boundedness.
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© 1970 Springer-Verlag Berlin Heidelberg
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Sario, L., Nakai, M. (1970). Other Classes of Harmonic Functions. In: Classification Theory of Riemann Surfaces. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besondere Berücksichtigung der Anwendungsgebiete, vol 164. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48269-4_5
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DOI: https://doi.org/10.1007/978-3-642-48269-4_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-48271-7
Online ISBN: 978-3-642-48269-4
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