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Bulletin of the American Mathematical Society

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

Book Review

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Book Information:

Author: Harold S. Shapiro
Title: The Schwarz function and its generalization to higher dimensions
Additional book information: University of Arkansas Lecture Notes in the Mathematical Sciences, vol. 9, Wiley-Interscience, New York, 1992, xi+108 pp., US$59.95. ISBN 0-471-57127-X.

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

  • [1] P. J. Davis, The Schwarz function and its applications, Carus Math. Monographs, vol. 17, Math. Assoc. Amer., Washington, DC, 1974. MR 0407252 (53:11031)
  • [2] K. Friedrichs, On certain inequalities for analytic functions and for functions of two variables, Trans. Amer. Math. Soc. 41 (1937), 321-364. MR 1501907
  • [3] N. Kerzman and E. Stein, The Cauchy kernel, the Szegö kernel, and the Riemann mapping function, Math. Ann. 236 (1978), 85-93. MR 0486468 (58:6199)
  • [4] Z. Nehari, Conformal mapping, McGraw-Hill, New York, 1952. MR 0045823 (13:640h)
  • [5] M. Sakai, Quadrature domains, Lecture Notes in Math., vol. 934, Springer, Berlin, 1982. MR 663007 (84h:41047)
  • [6] -, Regularity of a boundary having a Schwarz function, Acta Math. 166 (1991), 263-297. MR 1097025 (92c:30042)

Review Information:

Reviewer: J. Korevaar
Journal: Bull. Amer. Math. Soc. 31 (1994), 112-116
DOI: https://doi.org/10.1090/S0273-0979-1994-00487-2
American Mathematical Society