Interpolation by multipliers on certain spaces of analytic functions

K. Mosaleheh and K. Seddighi

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-8

Abstract:

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 z ℋ ⊂ 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.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:173109

DOI: 10.1155/S0161171200000958

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