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On slice hyperholomorphic fractional Hardy spaces

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  • Daniel Alpay
  • Fabrizio Colombo
  • Irene Sabadini

Abstract

In this paper we introduce and study the fractional Hardy spaces of the half space and of the unit ball in the quaternionic setting. In particular, we discuss their properties of invariance and of factorization in terms of functions in the Hardy space of the half space in the first case, and in terms of a suitable reproducing kernel Hilbert space in the case of the unit ball.

Suggested Citation

  • Daniel Alpay & Fabrizio Colombo & Irene Sabadini, 2017. "On slice hyperholomorphic fractional Hardy spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 290(17-18), pages 2725-2739, December.
    • Handle: RePEc:bla:mathna:v:290:y:2017:i:17-18:p:2725-2739
    DOI: 10.1002/mana.201700011
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