Maximal singular integral transforms on local fields
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- by Jia Arng Chao PDF
- Proc. Amer. Math. Soc. 50 (1975), 297-302 Request permission
Abstract:
We show that, on local fields, βniceβ singular integral transforms preserve ${H^p}$-spaces for $0 < p < \infty$ where ${H^p}$ is the space of all distributions whose maximal functions are in ${L^p}$. A version of the F. and M. Riesz theorem is also obtained.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 50 (1975), 297-302
- MSC: Primary 43A70; Secondary 46J15
- DOI: https://doi.org/10.1090/S0002-9939-1975-0374827-4
- MathSciNet review: 0374827