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Density conditions for interpolation inA −∞

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Abstract

We give a necessary and sufficient density condition for a sequence {a k} k in the unit disk ofC to be interpolating for the classA −∞ of holomorphic functions with polynomial growth. The condition goes along the lines of those found by Seip for the analogous problem in Bergman spaces of the disk and by Berenstein and Li for some weighted spaces of entire functions. The result complements an earlier characterization given by Bruna and Pascuas.

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Authors and Affiliations

  1. Departament de Matemàtica Aplicada I Anàlisi, Universitat de Barcelona, Gran Via de Les Corts Catalanes, 585, 08071, Barcelona, Spain

    Xavier Massaneda

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  1. Xavier Massaneda
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Additional information

Partially supported by DGICYT grant PB95-0956-C02-02 and CIRIT grant 1998 SGR 00052. Also supported by a program of the Comunitat de Treball dels Pirineus.

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Massaneda, X. Density conditions for interpolation inA −∞ . J. Anal. Math. 79, 299–314 (1999). https://doi.org/10.1007/BF02788244

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  • DOI: https://doi.org/10.1007/BF02788244

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