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Proceedings of the American Mathematical Society

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On functions in the ball algebra

Author: P. Wojtaszczyk
Journal: Proc. Amer. Math. Soc. 85 (1982), 184-186
MSC: Primary 32A10; Secondary 46J15
MathSciNet review: 652438
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Abstract: We show that there exists a function in a ball algebra such that almost every slice function has a series of Taylor coefficients divergent with every power $ p < 2$.

References [Enhancements On Off] (What's this?)

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  • [2] A. Pełczyński, Banach spaces of analytic functions and absolutely summing operators, CBMS Regional Conference Series No. 30, Amer. Math. Soc., Providence, R. I. 1977. MR 0511811 (58:23526)
  • [3] W. Rudin, Function theory in the unit ball of $ {C^n}$, Springer-Verlag, New York, 1980. MR 601594 (82i:32002)
  • [4] J. Ryll and P. Wojtaszczyk, On homogeneous polynomials on a complex ball, Trans. Amer. Math. Soc. (to appear). MR 684495 (84f:32004)

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Article copyright: © Copyright 1982 American Mathematical Society

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