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Bulletin of the American Mathematical Society

Published by the American Mathematical Society, the Bulletin of the American Mathematical Society (BULL) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.47.

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Book Review

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Full text of review: PDF   This review is available free of charge.
Book Information:

Authors: Haakan Hedenmalm, Boris Korenblum and Kehe Zhu
Title: Theory of Bergman spaces
Additional book information: Springer-Verlag, New York, 2000, ix+286 pp., ISBN 0-387-98791-6, $54.95$

References [Enhancements On Off] (What's this?)

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Aleman, A., Richter, S., Sundberg, C., The majorization function and the index of invariant subspaces in the Bergman spaces, J. Analyse Math., to appear.
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Hedenmalm, H., A Factorization Theorem for Square Area-Integrable Analytic Functions, J. Reine Angew. Math. 422 (1991), 45-68.
Hedenmalm, H., An invariant subspace of the Bergman space having the codimension 2 property. J. Reine Angew. Math. 443 (1993), 1-9. MR 1241125
Hedenmalm, H., Jakobsson, S., Shimorin, S., A maximum principle à la Hadamard for biharmonic operators with applications to the Bergman spaces, C.R. Acad. Sci. Paris Sér I Math. 328 (1999), no. 11, 973-978. MR 1696190
Hedenmalm, H., Shimorin, S., Hele-Shaw flow on hyperbolic surfaces, preprint.
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Korenblum, B., A Beurling-type theorem, Acta Math., 138 (1976), 265-293. MR 0447584
McCullough, S., Richter, S., Bergman-type reproducing kernels, contractive divisors, and dilations, preprint.
Seip, K., On a theorem of Korenblum, Ark. Math. 32 (1994), 237-243. MR 1277927
Zhu, K., Operator theory in function spaces, Marcel Dekker, New York, 1990. MR 1074007

Review Information:

Reviewer: Stefan Richter
Affiliation: University of Tennessee
Journal: Bull. Amer. Math. Soc. 39 (2002), 121-127
Published electronically: October 12, 2001
Review copyright: © Copyright 2001 American Mathematical Society