Schwarz-Pick inequalities for the Schur-Agler class on the polydisk and unit ball

DOI10.1007/BF03321692zbMath1157.30019arXivmath/0702269OpenAlexW2086123575MaRDI QIDQ934551

J. Milne Anderson, James Rovnyak, Michael A. Dritschel

Publication date: 29 July 2008

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702269

zbMATH Keywords

transfer functionrealizationDrury-Arveson spaceSchur-Agler classSchwarz-Pick inequality

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) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (16)

The generalized Schwarz-Pick estimates of arbitrary order on the unit polydisk ⋮ A note on Schwarz-Pick estimate ⋮ A polynomial approximation result for free Herglotz–Agler functions ⋮ Schwarz-Pick type estimates of pluriharmonic mappings in the unit polydisk ⋮ Schwarz-Pick estimates for holomorphic mappings with values in homogeneous ball ⋮ Schwarz-Pick estimates for holomorphic mappings from the polydisk to the unit ball ⋮ Fundamental Agler decompositions ⋮ A note on polydegree \((n, 1)\) rational inner functions, slice matrices, and singularities ⋮ Schwarz-Pick estimates for bounded holomorphic functions in the unit ball of \(\mathbb C^n\) ⋮ Higher-order Schwarz-Pick estimates for holomorphic self-mappings on classical domains ⋮ High-order Schwarz-Pick lemma for the Schur class on the polydisc ⋮ Schwarz-Pick estimates for positive real part holomorphic functions on unit ball and polydisc ⋮ Factorizations of Schur functions ⋮ Indefinite Schwarz-Pick inequalities on the bidisk ⋮ Schur-Agler class rational inner functions on the tridisk ⋮ Generalization of theorems of Szász and Ruscheweyh on exact bounds for derivatives of analytic functions

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