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Uniqueness sets for Gevrey classes. (English) Zbl 0442.30031
##### MSC:
 30D55 $$H^p$$-classes (MSC2000)
##### Keywords:
uniqueness sets; Gevrey classes; Carleson condition
Full Text:
##### References:
 [1] R. B. Saunas, ”Functions with null moments,” Rev. Acad. Ciencias Madrid,49, 331–368 (1955). [2] L. Carleson, ”Sets of uniqueness for functions regular in the unit circle,” Acta Math.,87, 325–345 (1952). · Zbl 0046.30005 · doi:10.1007/BF02392289 [3] W. P. Novinger, ”Holomorphic functions with infinitely differentiable boundary values,” Illinois J. Math.,15, No. 1, 80–90 (1971). · Zbl 0205.42401 [4] B. I. Korenblyum, ”On functions holomorphic in the circle and smooth up to its boundary,” Dokl. Akad. Nauk SSSR,200, No. 1, 24–27 (1971). [5] B. A. Taylor and D. L. Williams, ”Zeros of Lipschitz functions analytic in the unit disc,” Michigan Math. J.,18, 129–139 (1972). · Zbl 0197.05501 [6] B. A. Taylor and D. L. Williams, ”Boundary zero sets of Afunctions satisfying growth conditions,” Proc. Am. Math. Soc.,35, No. 1, 155–159 (1972). · Zbl 0258.30003 [7] A. -M. Chollét, ”Ensembles de zéros de fonctions analytiques dan le disque, appartenant á une classe de Gevrey sur le bord,” C. R. Acad. Sci. Paris, Ser. A-B,269, 447–449 (1969). · Zbl 0209.10001 [8] B. S. Pavlov and M. G. Suturin, ”On the accuracy of a uniqueness theorem,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,30, 170–171 (1972). · Zbl 0377.30003 [9] M. G. Suturin, ”On interior factors of functions from the Gevrey classes,” in: Probl. Mat. Fiz., No. 7, Leningrad State Univ. (1974), pp. 149–162. [10] V. S. Korolevich and E. A. Pogorelyi, ”On the zeros of analytic functions belonging to the Gevrey classes,” Mat. Zametki,15, No. 6, 857–863 (1974). [11] B. I. Korenblyum, ”Closed ideals in the ring An,” Funkts. Anal. Prilozhen.,6, No. 3, 38–52 (1972). [12] A.-M. Chollet, ”Zéros dans les classes the Gevrey de type analytique,” Bull. Sci. Math.,96, No. 2, 65–68 (1972).
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