The convergence almost everywhere of Legendre series
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- by Harry Pollard PDF
- Proc. Amer. Math. Soc. 35 (1972), 442-444 Request permission
Abstract:
It is proved that the Legendre series of an ${L^p}$ function converges almost everywhere, provided $4/3 < p < \infty$. The result fails if $1 \leqq p < 4/3$.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 35 (1972), 442-444
- MSC: Primary 33A45
- DOI: https://doi.org/10.1090/S0002-9939-1972-0302973-7
- MathSciNet review: 0302973