Bounded analytic functions and absolutely continuous measures
HTML articles powered by AMS MathViewer
- by George Piranian, Allen L. Shields and James H. Wells PDF
- Proc. Amer. Math. Soc. 18 (1967), 818-826 Request permission
References
- Leon Brown, Allen Shields, and Karl Zeller, On absolutely convergent exponential sums, Trans. Amer. Math. Soc. 96 (1960), 162–183. MR 142763, DOI 10.1090/S0002-9947-1960-0142763-8
- Kenneth Hoffman, Banach spaces of analytic functions, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0133008
- Jean-Pierre Kahane, Another theorem on bounded analytic functions, Proc. Amer. Math. Soc. 18 (1967), 827–831. MR 215068, DOI 10.1090/S0002-9939-1967-0215068-6 Analytic function theory, (Sympos. on Analytic Function Theory, Univ. of Kentucky, 1965), Bull. Amer. Math. Soc. 71 (1965), 855-857.
- L. A. Rubel and A. L. Shields, The space of bounded analytic functions on a region, Ann. Inst. Fourier (Grenoble) 16 (1966), no. fasc. 1, 235–277. MR 198281
- Hugo Steinhaus, Additive und stetige Funktionaloperationen, Math. Z. 5 (1919), no. 3-4, 186–221 (German). MR 1544384, DOI 10.1007/BF01203518
- A. E. Taylor, Banach spaces of functions analytic in the unit circle. II, Studia Math. 12 (1951), 25–50. MR 43377, DOI 10.4064/sm-12-1-25-50
- A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. MR 0107776
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 18 (1967), 818-826
- MSC: Primary 46.30; Secondary 30.00
- DOI: https://doi.org/10.1090/S0002-9939-1967-0215067-4
- MathSciNet review: 0215067