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Introduction

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

Abstract

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’.

Keywords

Hardy Space Invariant Subspace Essential Spectrum Harmonic Measure Linear Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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