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AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name. |
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STUDIA MATHEMATICA - Issue no. 2 / 2022 | |||||||
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THE NEHARI--SCHWARZ LEMMA AND INFINITESIMAL BOUNDARY RIGIDITY OF BOUNDED HOLOMORPHIC FUNCTIONS. Authors: OLIVER ROTH. |
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Abstract: DOI: 10.24193/subbmath. 2022.2.05 Published Online: 2022-06-10 Published Print: 2022-06-30 pp. 285-294 VIEW PDF FULL PDF 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 |
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