On a maximum principle in Bergman space

DOI10.1007/BF02788246zbMath0979.30014MaRDI QIDQ5943739

Aimo Hinkkanen

Publication date: 17 September 2001

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

Bergman spacehyperbolic metricKorenblum's conjecture

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Entire and meromorphic functions of one complex variable, and related topics (30D99)

Related Items

On Korenblum's constant, The Korenblum's maximum principle in Fock spaces with small exponents, Korenblum maximum principle in mixed norm spaces, A slight improvement to Korenblum's constant, Korenblum constants for various weighted Fock spaces, Failure of Korenblum’s maximum principle in Bergman spaces with small exponents, Some results on Korenblum's maximum principle, Refining the constant in a maximum principle for the Bergman space, Korenblum constants for some function spaces, The maximum principle for the Bergman space and the Möbius pseudodistance for the annulus

Cites Work

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• A maximum principle for the Bergman space
• Majorization and Domination in the Bergman Space
• Totally Monotone Functions with Applications to the Bergman Space
• On Korenblum’s maximum principle
• A majorant principle in the theory of functions.