The Hardy class of functions of bounded boundary rotation
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- by Bernard Pinchuk PDF
- Proc. Amer. Math. Soc. 38 (1973), 355-360 Request permission
Abstract:
The Hardy class for functions of bounded boundary rotation and their derivatives is determined. In the univalent case, a more precise description of the Hardy class in terms of the behavior of the representing measure is obtained.References
- D. A. Brannan, On functions of bounded boundary rotation. I, Proc. Edinburgh Math. Soc. (2) 16 (1968/69), 339–347. MR 264045, DOI 10.1017/S001309150001302X
- Peter L. Duren, Theory of $H^{p}$ spaces, Pure and Applied Mathematics, Vol. 38, Academic Press, New York-London, 1970. MR 0268655
- P. J. Eenigenburg and F. R. Keogh, The Hardy class of some univalent functions and their derivatives, Michigan Math. J. 17 (1970), 335–346. MR 306505 V. Paatero, Über die konforme Abbildung von Gebieten deren Ränder von beschränkter Drehung sind, Ann. Acad. Sci. Fenn. A 33 (1931), no. 9.
- Bernard Pinchuk, Functions of bounded boundary rotation, Israel J. Math. 10 (1971), 6–16. MR 301180, DOI 10.1007/BF02771515
- Ch. Pommerenke, On starlike and convex functions, J. London Math. Soc. 37 (1962), 209–224. MR 137830, DOI 10.1112/jlms/s1-37.1.209
- M. S. Robertson, Coefficients of functions with bounded boundary rotation, Canadian J. Math. 21 (1969), 1477–1482. MR 255798, DOI 10.4153/CJM-1969-161-2
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 38 (1973), 355-360
- MSC: Primary 30A78
- DOI: https://doi.org/10.1090/S0002-9939-1973-0313516-7
- MathSciNet review: 0313516