Part Metric
المؤلف:
Bear, H. S
المصدر:
"Part Metric and Hyperbolic Metric." Amer. Math. Monthly 98
الجزء والصفحة:
...
1-11-2018
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Part Metric
A metric defined by
![d(z,w)=sup<span style=]() {|ln[(u(z))/(u(w))]|:u in H^+}, " src="http://mathworld.wolfram.com/images/equations/PartMetric/NumberedEquation1.gif" style="height:37px; width:212px" /> |
where 
denotes the positive harmonic functions on a domain. The part metric is invariant under conformal maps for any domain.
REFERENCES:
Bear, H. S. "Part Metric and Hyperbolic Metric." Amer. Math. Monthly 98, 109-123, 1991.
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