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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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On the weak behaviour of partial sums of Legendre series
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by S. Chanillo PDF
Trans. Amer. Math. Soc. 268 (1981), 367-376 Request permission

Abstract:

We show that the partial sum operator associated with the Legendre series is restricted weak type, but not weak type, on the ${L^p}$ spaces when $p = 4$.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 268 (1981), 367-376
  • MSC: Primary 42C10; Secondary 42A50, 43A90, 44A40
  • DOI: https://doi.org/10.1090/S0002-9947-1981-0632534-1
  • MathSciNet review: 632534