Interpolation by multipliers on certain spaces of analytic functions
Copyright policy )Interpolation by multipliers on certain spaces of analytic functions
Let ℋ be a Hilbert space of analytic functions on a planar domain G such that, for each λ in G, the linear functional eλ of evaluation at λ is bounded on ℋ. Furthermore, assume that zℋ ⊂ ℋ and is an M‐spectral set for Mz, 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.
- Shiraz University Iran (Islamic Republic of)
Linear operators on function spaces (general), spaces of analytic functions, multipliers, QA1-939, multiplier, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), Moment problems and interpolation problems in the complex plane, Dirichlet space, finitely connected domains., Mathematics, Interpolation
Linear operators on function spaces (general), spaces of analytic functions, multipliers, QA1-939, multiplier, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), Moment problems and interpolation problems in the complex plane, Dirichlet space, finitely connected domains., Mathematics, Interpolation
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