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On the Lipschitz continuity of the dilation of Bloch functions

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Publication:1878806
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DOI10.1023/B:MAHU.0000010824.30026.cdzbMath1063.30006MaRDI QIDQ1878806

Chengji Xiong

Publication date: 8 September 2004

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)


zbMATH Keywords

Bloch functionbounded belowLipschitz continuation


Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Banach spaces of continuous, differentiable or analytic functions (46E15)


Related Items (5)

Composition operators on Bloch and Hardy type spaces ⋮ Lipschitz property of harmonic mappings with respect to pseudo-hyperbolic metric ⋮ Bounded below composition operators on the space of Bloch functions on the unit ball of a Hilbert space ⋮ Lipschitz continuity of the dilation of Bloch functions on the unit ball of a Hilbert space and applications ⋮ Lipschitz continuity of Bloch type mappings with respect to Bergman metric



Cites Work

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  • Composition operators and classical function theory
  • Distortion theorems for Bloch functions
  • Composition operators with closed range on the Bloch space


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