Computational Methods and Function Theory 8 (2008), No. 2, 339--361
Copyright Heldermann Verlag 2008
J. Milne Anderson
helen@math.ucl.ac.uk , University College London, Department of Mathematics, Gower Street, London WC1E 6BT, U.K.
Michael A. Dritschel
m.a.dritschel@ncl.ac.uk , University of Newcastle upon Tyne, Merz Court, School of Mathematics and Statistics, Newcastle upon Tyne NE1 7RU, U.K.
James Rovnyak
rovnyak@virginia.edu , University of Virginia, Department of Mathematics, P.O. Box 400137, Charlottesville, VA 22904, U.S.A.
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.
Keywords: Schwarz-Pick inequality, realization, transfer function, Schur-Agler class, Drury-Arveson space.
MSC 2000: Primary 30C80; Secondary 32A30, 47B32, 47A48.
[FullText-pdf (356 K)] [FullText-ps (620 K)]