Loewner chain

A Loewner chain is a continuous functionMathworldPlanetmathPlanetmath f:𝔻×[0,) (where 𝔻 refers to the open unit disc) with the following properties:

  1. 1.

    the function zf(z,t) is analyticPlanetmathPlanetmath and univalent for all t[0,)

  2. 2.

    f(0,t)=0 and f(0,t)=et

  3. 3.

    f(𝔻,s)f(𝔻,t) for 0s<t<


  • John B. Conway . Springer-Verlag, New York, Inc, 1995

Title Loewner chain
Canonical name LoewnerChain
Date of creation 2013-03-22 14:12:02
Last modified on 2013-03-22 14:12:02
Owner jirka (4157)
Last modified by jirka (4157)
Numerical id 4
Author jirka (4157)
Entry type Definition
Classification msc 30C55