Mathematical Sciences

Lund University

  • Title: Möbius invariance and duality
  • Description: Using techniques of Möbius invariance (conformal invariance), we prove that the dual of the Hardy space H1 can be identi ed with the space BMOA and that the dual of the Bergman space L1a is isomorphic to the Bloch space B. We then consider a class of Möbius invariant Banach spaces of analytic functions which generalizes the spaces BMOA and B, and we prove a weak factorization result for the preduals of the spaces in this class.
  • Start Date: May 26, 2009
  • Finished Date: May 26, 2009
  • Supervisor: Alexandru Aleman
  • Student: Karl-Mikael Perfekt
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