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math.CV2007
Schwarz-Pick inequalities for the Schur-Agler class on the polydisk and unit ball
J. Milne Anderson, Michael A. Dritschel, James Rovnyak
The notion of a unitary realization is used to estimate derivatives of arbitrary order of functions in the Schur-Agler class on the polydisk and unit ball.
math.CV2006★ 5 cited
Lower Schwarz-Pick estimates and angular derivatives
J. Milne Anderson, Alexander Vasil'ev
The well-known Schwarz-Pick lemma states that any analytic mapping of the unit disk into itself satisfies the inequality $$|ϕ'(z)|\leq \frac{1-|ϕ(z)|^2}{1-|z|^2}, \quad z\i…