Monogenic Functions of Bounded Mean Oscillation in the Unit Ball

  • Swanhild Bernstein
Part of the Trends in Mathematics book series (TM)


Our goal is to generalize results for analytic functions of bounded mean oscillation (BMOA) in the unit circle to monogenic functions of bounded mean oscillation (BMOM) in the unit ball of \({{\mathbb{R}}^{n}} \) In particular we obtain the duality of BMOM l and the Hardy space of right monogenic functions H 1,r .

Mathematics Subject Classification (2000). Primary 30G35; Secondary 31B10, 32A37.


Monogenic functions of bounded mean oscillation monogenic functions harmonic analysis 

Mathematics Subject Classification (2000)

Primary 30G35 Secondary 31B10, 32A37 


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© Springer Basel AG 2004

Authors and Affiliations

  • Swanhild Bernstein
    • 1
  1. 1.Bauhaus-Universität WeimarMathematische OptimierungWeimarGermany

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