Analogues to Landau’s Inequality for Nonvanishing Bounded Functions and for Bloch Functions
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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.
KeywordsBloch functions Bounded functions Bounded nonvanishing functions Landau’s inequality
Mathematics Subject Classification30H30 30H05 30B10
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.