logarithmically convex set


Suppose Gn, then we define

logG:={(log|z1|,,log|zn|)n(z1,,zn)G}.
Definition.

We say Gn is a logarithmically convex set if logGn is a convex set.

References

  • 1 Steven G. Krantz. , AMS Chelsea Publishing, Providence, Rhode Island, 1992.
Title logarithmically convex set
Canonical name LogarithmicallyConvexSet
Date of creation 2013-03-22 14:29:32
Last modified on 2013-03-22 14:29:32
Owner jirka (4157)
Last modified by jirka (4157)
Numerical id 5
Author jirka (4157)
Entry type Definition
Classification msc 32A07