A Schwarz lemma on the polydisk

DOI10.1090/S0002-9939-07-08766-7zbMath1116.32003arXivmath/0512452WikidataQ124833704 ScholiaQ124833704MaRDI QIDQ5291919

Greg Knese

Publication date: 19 June 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512452

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Linear operator methods in interpolation, moment and extension problems (47A57) Other generalizations of function theory of one complex variable (32A30) Holomorphic functions of several complex variables (32A10)

Related Items (15)

Isometric submersions of Teichmüller spaces are forgetful ⋮ Properties of Beurling-type submodules via Agler decompositions ⋮ Integrability and regularity of rational functions: ⋮ The generalized Schwarz-Pick estimates of arbitrary order on the unit polydisk ⋮ Exact constants in inequalities for the Taylor coefficients of bounded holomorphic functions in a polydisk ⋮ A polynomial approximation result for free Herglotz–Agler functions ⋮ A note on pluriharmonic functions in the unit polydisc in \(\mathbb{C}^n\) ⋮ A boundary Schwarz lemma for holomorphic mappings on the polydisc ⋮ Multidimensional circuit synthesis and multivariable dilation theory ⋮ Carathéodory's metrics on Teichmüller spaces and \(L\)-shaped pillowcases ⋮ Hilbert function spaces and the Nevanlinna-Pick problem on the polydisc. II. ⋮ Schwarz-Pick inequalities for the Schur-Agler class on the polydisk and unit ball ⋮ Asymptotics of the translation flow on holomorphic maps out of the poly-plane ⋮ Canonical Agler decompositions and transfer function realizations ⋮ Indefinite Schwarz-Pick inequalities on the bidisk

Cites Work

• Several Complex Variables and the Geometry of Real Hypersurfaces
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