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On Universal Primitive Functions

Xiao-Xiong Gan and Karl R. Stromberg
Proceedings of the American Mathematical Society
Vol. 121, No. 1 (May, 1994), pp. 151-161
DOI: 10.2307/2160376
Stable URL: http://www.jstor.org/stable/2160376
Page Count: 11
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On Universal Primitive Functions
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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(In, Rm) ∀ n, m ∈ N.

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