A+ CATEGORY SCIENTIFIC UNIT

Sets of interpolation and sampling for weighted Banach spaces of holomorphic functions

Volume 79 / 2002

Paweł Domański, Mikael Lindström Annales Polonici Mathematici 79 (2002), 233-264 MSC: Primary 30E05, 46E15. DOI: 10.4064/ap79-3-3

Abstract

We give an elementary approach which allows us to evaluate Seip's conditions characterizing interpolating and sampling sequences in weighted Bergman spaces of infinite order for a wide class of weights depending on the distance to the boundary of the domain. Our results also give some information on cases not covered by Seip's theory. Moreover, we obtain new criteria for weights to be essential.

Authors

  • Paweł DomańskiFaculty of Mathematics and Computer Science
    A. Mickiewicz University
    and
    Institute of Mathematics
    Polish Academy of Sciences
    Poznań Branch
    Umultowska 87
    61-614 Poznań, Poland
    e-mail
  • Mikael LindströmDepartment of Mathematics
    Department of Mathematics
    Åbo Akademi University
    FIN-20500 Åbo, Finland
    e-mail

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