On α-Harmonic Functions
- 1 February 1966
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 26, 205-221
- https://doi.org/10.1017/s0027763000011752
Abstract
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.Keywords
This publication has 2 references indexed in Scilit:
- Remarks on Ninomiya's domination principleProceedings of the Japan Academy, Series A, Mathematical Sciences, 1964
- Les potentiels d'energie finieActa Mathematica, 1950