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On α -Harmonic Functions
Masayuki Itô
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Source: Crossref
Published: Feb 1, 1966
DOI: 10.1017/s0027763000011752
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M. Riesz [8] introduced the notion of α -superharmonic functions in n(≥1)- dimensional Euclidean space R n 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.
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