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Harnack,s Inequality

المؤلف:  Flanigan, F. J

المصدر:  "Harnack,s Inequality." §2.5.1 in Complex Variables: Harmonic and Analytic Functions. New York: Dover

الجزء والصفحة:  ...

24-5-2018

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Harnack's Inequality

Let  be an open disk, and let  be a harmonic function on  such that  for all . Then for all , we have

 

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REFERENCES:

Flanigan, F. J. "Harnack's Inequality." §2.5.1 in Complex Variables: Harmonic and Analytic Functions. New York: Dover, pp. 88-90, 1983.

Krantz, S. G. "The Harnack Inequality." §7.6.1 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 97, 1999.