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On α-Harmonic Functions

Published online by Cambridge University Press:  22 January 2016

Masayuki Itô
Masayuki Itô*
Affiliation:
Mathematical Institute, Nagoya University
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M. Riesz [8] introduced the notion of α-superharmonic functions in n(≥1)-dimensional Euclidean space Rn in connection with the potential of order α. In this paper, we shall first define the α-superharmonic and α-harmonic functions in a domain D. In case α = 2, they coincide with ones in the usual sense.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 26 , February 1966 , pp. 205 - 221
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

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