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Plurisubharmonic Function


An upper semicontinuous function whose restrictions to all complex lines are subharmonic (where defined). These functions were introduced by P. Lelong and Oka in the early 1940s. Examples of such a function are the logarithms of moduli of holomorphic functions.


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References

Range, R. M. and Anderson, R. W. "Hans-Joachim Bremmermann, 1926-1996." Not. Amer. Math. Soc. 43, 972-976, 1996.

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Plurisubharmonic Function

Cite this as:

Weisstein, Eric W. "Plurisubharmonic Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PlurisubharmonicFunction.html

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