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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles 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 1.48.

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The Littlewood-Paley theory for Jacobi expansions
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by William C. Connett and Alan L. Schwartz PDF
Trans. Amer. Math. Soc. 251 (1979), 219-234 Request permission

Abstract:

The machinery for harmonic analysis utilizing Jacobi polynomial expansions is developed using the explicit form of the convolution kernel discovered by Gasper. Various maximal functions, and the standard Littlewood-Paley functionals are studied and an application is given to multiplier theorems.
References
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 251 (1979), 219-234
  • MSC: Primary 42C10; Secondary 33A65, 42B25
  • DOI: https://doi.org/10.1090/S0002-9947-1979-0531976-3
  • MathSciNet review: 531976