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


This monograph continues the study of the invariant subspaces of the Hardy space H 2 (Ω) of a bounded domain Ω ⊂ ℂ (see Chapter 2 for a definition of the Hardy space). By the term ‘invariant subspace’, we mean a subspace (i.e., a closed linear manifold) M of H2 (Ω) for which SMM, where (Sf)(z)=zf(z) is the operator ‘multiplication by z’.


Hardy Space Invariant Subspace Essential Spectrum Harmonic Measure Linear Manifold 
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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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