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Picard principle for finite densities

Published online by Cambridge University Press:  22 January 2016

Mitsuru Nakai
Mitsuru Nakai*
Affiliation:
Department of Mathematics Nagoya, Institute of Technology Gokiso, Showa, Nagoya 466, Japan
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A nonnegative locally Holder continuous function P(z) on 0<|z |≤1 will be referred to as a density on Ω 0 < |z | < 1 with singularity at δ : z = 0, removable or genuine. A density P on Ω is said to be finite if it is integrable over Ω :

(1) ∫ Ω P(z)dxdy < ∞.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 70 , July 1978 , pp. 7 - 24
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1978

References

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