Harmonic Measures and Bloch Functions

  • Filippo BracciEmail author
  • Manuel D. Contreras
  • Santiago Díaz-Madrigal
Part of the Springer Monographs in Mathematics book series (SMM)


In this chapter we introduce the last two tools we need in our study of semigroups throughout the book. The first one comes from potential theory: the harmonic measure of a simply connected domain in \(\mathbb {C}\) related to a subset of its boundary. The second one is the notion of Bloch function and related maximum principles and distortion theorems.

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Filippo Bracci
    • 1
    Email author
  • Manuel D. Contreras
    • 2
  • Santiago Díaz-Madrigal
    • 2
  1. 1.Dipartimento di MatematicaUniversità di Roma “Tor Vergata”RomaItaly
  2. 2.Departamento de Matemática Aplicada II and IMUSUniversidad de SevillaSevillaSpain

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