Phase transition for the universal bounds on the integral means spectrum

@article{Binder2009PhaseTF,
  title={Phase transition for the universal bounds on the integral means spectrum},
  author={Ilia Binder},
  journal={Nonlinearity},
  year={2009},
  volume={22},
  pages={1857-1867}
}
  • I. Binder
  • Published 23 June 2009
  • Mathematics
  • Nonlinearity
In this paper we generalize Beurling's estimate on the rate of decay of harmonic measure near a boundary point with given rotation. The generalization allows us to establish the existence of phase transition for the universal bounds on the integral means mixed spectrum of bounded simply connected domains. 
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