BMO estimates and radial growth of Bloch functions

Korenblum, B.

doi:10.1090/S0273-0979-1985-15302-9

Bulletin of the American Mathematical Society

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

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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BMO estimates and radial growth of Bloch functions
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Bull. Amer. Math. Soc. 12 (1985), 99-102

References

J. G. Clunie and T. H. MacGregor, Radial growth of the derivative of univalent functions, Comment. Math. Helv. 59 (1984), no. 3, 362–375. MR 761804, DOI 10.1007/BF02566357
T. M. Flett, Some remarks on schlicht functions and harmonic functions of uniformly bounded variation, Quart. J. Math. Oxford Ser. (2) 6 (1955), 59–72. MR 68634, DOI 10.1093/qmath/6.1.59
F. John and L. Nirenberg, On functions of bounded mean oscillation, Comm. Pure Appl. Math. 14 (1961), 415–426. MR 131498, DOI 10.1002/cpa.3160140317
Paul Koosis, Introduction to $H_{p}$ spaces, London Mathematical Society Lecture Note Series, vol. 40, Cambridge University Press, Cambridge-New York, 1980. With an appendix on Wolff’s proof of the corona theorem. MR 565451
Christian Pommerenke, Univalent functions, Studia Mathematica/Mathematische Lehrbücher, Band XXV, Vandenhoeck & Ruprecht, Göttingen, 1975. With a chapter on quadratic differentials by Gerd Jensen. MR 0507768