Other applications

  • Alexandru Aleman
  • William T. Ross
  • Nathan S. Feldman
Part of the Frontiers in Mathematics book series (FM)


We now examine the compression of S to certain co-invariant subspaces. Throughout this section ω will denote the harmonic measure for ∂G at some point in G. Note from (6.2.5) that \( d\omega \asymp |\xi |^{ - 1/2} |\xi - 1|ds \) . We begin with the following.


Invariant Subspace Harmonic Measure Poisson Kernel Complex Logarithm Sine Series 
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Copyright information

© Birkhäuser Verlag AG 2009

Authors and Affiliations

  • Alexandru Aleman
    • 1
  • William T. Ross
    • 2
  • Nathan S. Feldman
    • 3
  1. 1.Centre for Mathematical SciencesLund UniversityLundSweden
  2. 2.Department of Mathematics and Computer ScienceUniversity of RichmondRichmondUSA
  3. 3.Department of MathematicsWashington & Lee UniversityLexingtonUSA

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