INVARIANT SUBSPACES AND HANKEL-TYPE OPERATORS ON A BERGMAN SPACE
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概要
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Let L2 = L2(D, rdrdθ/π) be the Lebesgue space on the open unit disc D and letL2a = L2 ∩ Hol(D) be a Bergman space on D. In this paper, we are interested in a closed subspaceM of L2 which is invariant under the multiplication by the coordinate function z, and a Hankel-typeoperator from L2a to M⊥. In particular, we study an invariant subspace M such that there does notexist a finite-rank Hankel-type operator except a zero operator.
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