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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

The Littlewood-Paley theory for Jacobi expansions


Authors: William C. Connett and Alan L. Schwartz
Journal: Trans. Amer. Math. Soc. 251 (1979), 219-234
MSC: Primary 42C10; Secondary 33A65, 42B25
MathSciNet review: 531976
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1979-0531976-3
PII: S 0002-9947(1979)0531976-3
Article copyright: © Copyright 1979 American Mathematical Society