On universal primitive functions
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- by Xiao-Xiong Gan and Karl R. Stromberg PDF
- Proc. Amer. Math. Soc. 121 (1994), 151-161 Request permission
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 $C({I^n},{\mathbb {R}^m})\forall n,m \in \mathbb {N}$.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 121 (1994), 151-161
- MSC: Primary 26B35
- DOI: https://doi.org/10.1090/S0002-9939-1994-1191868-X
- MathSciNet review: 1191868