On Series Expansions of Hyperholomorphic Bq Functions

  • K. Gürlebeck
  • A. El-Sayed Ahmed
Part of the Trends in Mathematics book series (TM)


In the previous article 11, B q spaces of hyperholomorphic functions were studied and it was shown that these spaces form a scale of subspaces, all included in the hyperholomorphic Bloch space. Here, we study the problem if these inclusions within the scale and with respect to the Bloch space are strict. Main tool is the characterization of B q functions by the coefficients of certain series expansions.


Quaternionic Analysis Bq-spaces 

Mathematics Subject Classification (2000)

Primary 30G35 Secondary 46E15 


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Copyright information

© Springer Basel AG 2004

Authors and Affiliations

  • K. Gürlebeck
    • 1
  • A. El-Sayed Ahmed
    • 2
  1. 1.Institut für Mathematik und PhysikBauhaus-Universität WeimarWeimarGermany
  2. 2.Department of MathematicsSouth Valley University Faculty of ScienceSohagEgypt

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