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 SM ⊂ M, where (Sf)(z)=zf(z) is the operator ‘multiplication by z’.
KeywordsHardy Space Invariant Subspace Essential Spectrum Harmonic Measure Linear Manifold
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