Holomorphic Spaces
Edited by Sheldon Axler, John McCarthy, and Donald Sarason
Contents
Table of Contents
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Preface
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Holomorphic Spaces: A Brief and Selective Survey, by Donald Sarason, 1-34
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Recent Progress in the Function Theory of the Bergman Space, by Håkan Hedenmalm, 35-50
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Harmonic Bergman Spaces, by Karel Stroethoff, 51-64
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An Excursion into the Theory of Hankel Operators, by Vladimir V. Peller, 65-120
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Hankel-Type Operators, Bourgain Algebras, and Uniform Algebras, by Pamela Gorkin, 121-134
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Tight Uniform Algebras, by Scott Saccone, 135-154
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Higher-Order Hankel Forms and Commutators, by Richard Rochberg, 155-178
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Function Theory and Operator Theory on the Dirichlet Space, by Zhijian Wu, 179-200
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Some Open Problems in the Theory of Subnormal Operators, by John B. Conway and Liming Yang, 201-210
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Elements of Spectral Theory in Terms of the Free Function Model, Part I: Basic Constructions, by
Nikolai Nikolski and Vasily Vasyunin, 211-302
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Liftings of Kernels Shift-Invariant in Scattering Systems, by Cora Sadosky, 303-336
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Some Function-Theoretic Issues in Feedback Stabilisation, by Nicholas Young, 337-350
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The Abstract Interpolation Problem and Applications, by Alexander Kheifets, 350-380
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A Basic Interpolation Problem, by Harry Dym, 381-424
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Reproducing Kernel Pontryagin Spaces,
by Daniel Alpay, Aad Dijksma, James Rovnyak, and Hendrik S. V. de Snoo, 425-444
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Commuting Operators and Function Theory on a Riemann Surface, by Victor Vinnikov, 445-476
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