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摘要


Let H be a Hilbert space of analytic functions on a planar domain G such that, for each λ in G, the linear functional e_λ of evaluation at λ is bounded on H. Furthermore, assume that zH ⊂ H and σ(M_z) = G is an M-spectral set for M_z, the operator of multiplication by z. This paper is devoted to the study of interpolation by multipliers of the space H and, in particular, the Dirichlet space.

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