A weighted norm inequality for Vilenkin-Fourier series
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- by John A. Gosselin PDF
- Proc. Amer. Math. Soc. 49 (1975), 349-353 Request permission
Abstract:
Various operators related to the Hardy-Littlewood maximal function have been shown to satisfy a strong type $(p,p)$ condition, $1 < p < \infty$, for weighted ${L^p}$ spaces providing the weight function satisfies the $Ap$ condition of B. Muckenhoupt. In particular this result for the maximal partial sum operator for trigonometric series was established by R. Hunt and W. S. Young. In this note a result similar to that of Hunt and Young is established for Vilenkin-Fourier series, which include Walsh series as a special case.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 49 (1975), 349-353
- MSC: Primary 42A56
- DOI: https://doi.org/10.1090/S0002-9939-1975-0367547-3
- MathSciNet review: 0367547