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1 results

  • 9 - Weighted Hardy–Fock Spaces Built from a Regular Formal Power Series

  • Joseph A. Ball, Vladimir Bolotnikov, College of William and Mary, Virginia
  • Book:
    Noncommutative Function-Theoretic Operator Theory and Applications
    Published online:
    09 December 2021
    Print publication:
    16 December 2021, pp 315-414

  • Summary

    Chapter 9 is also concerned with weighted Hardy–Fock spaces but with the associated kernel function for the weighted Hardy–Fock space having a certain prescribed form. The resulting weight sequence satisfies the admissibility requirements imposed in earlier chapters only in special cases. Consequently, the results (and associated formulas) parallel the results from earlier chapters, but with the associated formulas having a more complicated form involving explicitly the parameters appearing in the prescribed kernel function. The resulting operator-model theory generalizes earlier such results appearing in the literature for the commutative case.