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Lusin Area Integral

If Omega subset= C is a domain and phi:Omega->C is a one-to-one analytic function, then phi(Omega) is a domain, and

area(phi(Omega))=int_Omega|phi^'(z)|^2dxdy

(Krantz 1999, p. 150).

See also

Area Integral

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References

Krantz, S. G. "The Lusin Area Integral." §12.1.3 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 150, 1999.

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Lusin Area Integral

Cite this as:

Weisstein, Eric W. "Lusin Area Integral." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LusinAreaIntegral.html

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