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A NOTE ON FUNCTIONS OF MEAN BLOCH TYPES

  • Published : 2010.01.31

Abstract

A characterization of the holomorphic function spaces of mean Bloch type on the unit disc is deduced in terms of the induced distance.

Keywords

$H^p$ space;Bloch space;mean Lipschitz space

References

  1. P. L. Duren, The Theory of Hp Functions, Academic Press, New York, 1970.
  2. K. Zhu, Bloch type spaces of analytic functions, Rocky Mountain J. Math. 23 (1993), no. 3, 1143–1177. https://doi.org/10.1216/rmjm/1181072549
  3. K. Zhu, Operator Theory in Function Space, Marcel Dekker, Inc., New York, 1990.