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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Iterated limits in $ N\sp{\ast} (U\sp{n})$


Author: Carl Stephen Davis
Journal: Trans. Amer. Math. Soc. 178 (1973), 139-146
MSC: Primary 32A99
MathSciNet review: 0315155
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Abstract: It is shown that if f is in $ {N^\ast}({U^n})$, then the iterated limits of f are almost everywhere independent of the order of iteration. In fact, the iterated limit and the radial limit are equal almost everywhere.


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

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  • [2] Walter Rudin, Function theory in polydiscs, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0255841 (41 #501)
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  • [5] -, Trigonometric series, 2nd ed. reprinted, Cambridge Univ. Press, New York, 1968. MR 38 #4882.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1973-0315155-5
PII: S 0002-9947(1973)0315155-5
Article copyright: © Copyright 1973 American Mathematical Society