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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


On universal primitive functions

Authors: Xiao-Xiong Gan and Karl R. Stromberg
Journal: Proc. Amer. Math. Soc. 121 (1994), 151-161
MSC: Primary 26B35
MathSciNet review: 1191868
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Abstract: This paper generalizes Marcinkiewicz's universal primitive on pointwise a.e. convergence directly to higher-dimensional spaces. It is also proved that the set of all universal primitive functions with respect to some given nonzero null sequence is residual and, hence, dense in the Banach space $ C({I^n},{\mathbb{R}^m})\forall n,m \in \mathbb{N}$.

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Additional Information

PII: S 0002-9939(1994)1191868-X
Keywords: Universal primitive, universal function
Article copyright: © Copyright 1994 American Mathematical Society

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