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Transactions of the American Mathematical Society

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Iterated nontangential limits


Author: K. Gowrisankaran
Journal: Trans. Amer. Math. Soc. 212 (1975), 401-402
MSC: Primary 32A10; Secondary 30A78
DOI: https://doi.org/10.1090/S0002-9947-1975-0377096-9
MathSciNet review: 0377096
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Abstract: For functions f in the Nevanlinna class of $ {U^n}$ it is proved that the iterated nontangential limits are equal up to a set of measure zero.


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

  • [1] K. Gowrisankaran, Iterated fine limits and iterated nontangential limits, Trans. Amer. Math. Soc. 173 (1972), 71-92. MR 47 #489. MR 0311927 (47:489)
  • [2] A. Zygmund, Trigonometrical series. Vol. 2, 2nd rev. ed., Cambridge Univ. Press, New York, 1959. MR 21 #6495. MR 0107776 (21:6498)

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DOI: https://doi.org/10.1090/S0002-9947-1975-0377096-9
Article copyright: © Copyright 1975 American Mathematical Society

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