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Authors: OLIVER ROTH.
DOI: 10.24193/subbmath. 2022.2.05
Published Online: 2022-06-10
Published Print: 2022-06-30
pp. 285-294
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Abstract: We survey a number of recent generalizations and sharpenings of Nehari''s extension of Schwarz'' lemma for holomorphic self--maps of the unit disk. In particular, we discuss the case of infinitely many critical points and its relation to the zero sets and invariant subspaces for Bergman spaces, as well as the case of equality at the boundary.
Key words: Schwarz'' lemma, Blaschke products, Bergman spaces
Mathematics Subject Classification (2010): 30C80, 32A36
