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Slice Hyperholomorphic Bloch, Besov and Dirichlet Spaces

  • Daniel Alpay,
  • Fabrizio Colombo,
  • Irene Sabadini

摘要

The Hilbert spaces studied in this chapter have been considered earlier in the framework of monogenic (or Fueter regular) functions. In this chapter, we shall introduce and study the Bloch, Besov and Dirichlet spaces, in the slice hyperholomorphic case, mainly working on the unit ball \(\mathbb B\)