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Analogues to Landau’s Inequality for Nonvanishing Bounded Functions and for Bloch Functions

  • I. R. KayumovEmail author
  • K.-J. Wirths
Article
  • 33 Downloads

Abstract

Starting with some famous inequalities for unimodular bounded functions proved by E. Landau and O. Szász, we derive similar inequalities for Bloch functions and unimodular bounded and nonvanishing functions.

Keywords

Bloch functions Bounded functions Bounded nonvanishing functions Landau’s inequality 

Mathematics Subject Classification

30H30 30H05 30B10 

Notes

Acknowledgements

We thank the referees for their careful reading of our paper and their proposals that helped to ameliorate it. The work of I. Kayumov is supported by the Russian Science Foundation under Grant 18-11-00115.

References

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Copyright information

© Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2018

Authors and Affiliations

  1. 1.Kazan Federal UniversityKazanRussia
  2. 2.Institut für Analysis und AlgebraTU BraunschweigBrunswickGermany

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