Book Review
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MathSciNet review:
1567957
Full text of review:
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Book Information:
Author:
W. K. Hayman
Title:
Subharmonic functions,
Additional book information:
Academic Press, London, 1990, 590 pp., $53.50. ISBN 0-12-334802-1.
Angelo Alvino, Pierre-Louis Lions, and Guido Trombetti, Comparaison des solutions d’équations paraboliques et elliptiques par symétrisation. Une méthode nouvelle, C. R. Acad. Sci. Paris Sér. I Math. 303 (1986), no. 20, 975–978 (French, with English summary). MR 877184
Albert Baernstein II, Ahlfors and conformal invariants, Ann. Acad. Sci. Fenn. Ser. A I Math. 13 (1988), no. 3, 289–312. MR 994466, DOI 10.5186/aasfm.1988.1323
Catherine Bandle, Isoperimetric inequalities and applications, Monographs and Studies in Mathematics, vol. 7, Pitman (Advanced Publishing Program), Boston, Mass.-London, 1980. MR 572958
Ralph Philip Boas Jr., Entire functions, Academic Press, Inc., New York, 1954. MR 0068627
J. L. Doob, Classical potential theory and its probabilistic counterpart, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 262, Springer-Verlag, New York, 1984. MR 731258, DOI 10.1007/978-1-4612-5208-5
Peter L. Duren, Univalent functions, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 259, Springer-Verlag, New York, 1983. MR 708494
[E] M. Essén, The ${\rm cos}$ $\pi łambda $ theorem, Lecture Notes in Math., vol. 467, Springer-Verlag, Berlin, 1975.
John B. Garnett, Bounded analytic functions, Pure and Applied Mathematics, vol. 96, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1981. MR 628971
W. K. Hayman, Research problems in function theory, The Athlone Press [University of London], London, 1967. MR 0217268
[HK] W. K. Hayman and P. B. Kennedy, Subharmonic functions, vol. 1, Academic Press, London, 1976.
Paul Koosis, The logarithmic integral. I, Cambridge Studies in Advanced Mathematics, vol. 12, Cambridge University Press, Cambridge, 1988. MR 961844, DOI 10.1017/CBO9780511566196
M. Tsuji, Potential theory in modern function theory, Maruzen Co. Ltd., Tokyo, 1959. MR 0114894
- [ALT] A. Alvino, P.-L Lions, and G. Trombetti, Comparison des solutions d'équations paraboliques et elliptiques par symétrisation. Une méthode nouvelle, C. R. Acad. Sci. Paris Sér 1 Math. 303 (1986), 975-978. MR 0877184
- [Bae] A. Baernstein, Ahlfors and conformal invariants, Ann. Acad. Sci. Fenn. Ser. AI Math. 13 (1988), 181-204. MR 994466
- [Ban] C. Bandle, Isoperimetric inequalities and applications, Pitman, Boston, 1980. MR 572958
- [Bo] R. P. Boas, Entire functions, Academic Press, New York, 1954. MR 68627
- [Do] J. L. Doob, Classical potential theory and its probabilistic counterpart, Springer-Verlag, New York, 1984. MR 731258
- [Du] P. L. Duren, Univalent functions, Springer-Verlag, New York, 1983. MR 708494
- [E] M. Essén, The ${\rm cos}$ $\pi łambda $ theorem, Lecture Notes in Math., vol. 467, Springer-Verlag, Berlin, 1975.
- [G] J. B. Garnett, Bounded analytic functions, Academic Press, New York, 1981. MR 628971
- [H] W. K. Hayman, Research problems in function theory, The Athlone Press, London, 1967, This collection has been updated five times, most recently in Bull. London Math. Soc. 21 (1989), 1-35. MR 217268
- [HK] W. K. Hayman and P. B. Kennedy, Subharmonic functions, vol. 1, Academic Press, London, 1976.
- [K] P. Koosis, The logarithmic integral I, Cambridge University Press, Cambridge, 1988; Reviewed in Bull. Amer. Math. Soc. (N.S) 24 (1991), 248-257. MR 961844
- [T] M. Tsuji, Potential theory in modern function theory, Maruzen, Tokyo, 1959. MR 114894
Review Information:
Reviewer:
Albert Baernstein, II
Journal:
Bull. Amer. Math. Soc.
25 (1991), 458-467
DOI:
https://doi.org/10.1090/S0273-0979-1991-16091-X
