Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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BLOCH-TYPE SPACES ON THE UPPER HALF-PLANE

  • Fu, Xi (Department of Mathematics Shaoxing University) ;
  • Zhang, Junding (Department of Mathematics Shaoxing University)
  • Received : 2016.07.09
  • Accepted : 2016.12.26
  • Published : 2017.07.31
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Abstract

We define Bloch-type spaces of ${\mathcal{C}}^1({\mathbb{H}})$ on the upper half plane H and characterize them in terms of weighted Lipschitz functions. We also discuss the boundedness of a composition operator ${\mathcal{C}}_{\phi}$ acting between two Bloch spaces. These obtained results generalize the corresponding known ones to the setting of upper half plane.

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References

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