SCHWARZ LEMMA FOR HOLOMORPHIC MAPPINGS IN THE UNIT BALL

DOI10.1017/S0017089517000052zbMath1384.32005arXiv1504.04823WikidataQ124980682 ScholiaQ124980682MaRDI QIDQ4600320

David Kalaj

Publication date: 8 January 2018

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.04823

zbMATH Keywords

Schwarz lemmaholomorphic maps between balls

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Other generalizations of function theory of one complex variable (32A30)

Related Items

Schwarz lemma for pluriharmonic functions, On holomorphic functions on negatively curved manifolds, Boundary Schwarz lemma for harmonic and pluriharmonic mappings in the unit ball, Bounded below composition operators on the space of Bloch functions on the unit ball of a Hilbert space, Invariant gradient in refinements of Schwarz and Harnack inequalities, Schwarz lemma and Kobayashi metrics for harmonic and holomorphic functions, Generalized versions of Lipschitz conditions on the modulus of holomorphic functions, Schwarz-Pick type estimates for gradients of pluriharmonic mappings of the unit ball, Schwarz lemma and Kobayashi metrics for holomorphic functions

Cites Work

• Unnamed Item
• Schwarz-Pick type estimates of pluriharmonic mappings in the unit polydisk
• Bloch space and the norm of the Bergman projection
• Norm of the Bergman Projection
• A Schwarz lemma for the modulus of a vector-valued analytic function
• On harmonic functions and the Schwarz lemma