The Littlewood-Paley theory for Jacobi expansions-Reference-Cited by-同舟云学术

The Littlewood-Paley theory for Jacobi expansions

Published:1979 Issue:0 Volume:251 Page:219-234
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Connett William C.,Schwartz Alan L.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1979-251-00/S0002-9947-1979-0531976-3/S0002-9947-1979-0531976-3.pdf

Reference22 articles.

1. A transplantation theorem for Jacobi series;Askey, Richard;Illinois J. Math.,1969

2. Cambridge Tracts in Mathematics and Mathematical Physics, No. 32;Bailey, W. N.,1964

3. Sommes de Cesàro et multiplicateurs des développements en harmoniques sphériques;Bonami, Aline;Trans. Amer. Math. Soc.,1973

4. Lecture Notes in Mathematics, Vol. 242;Coifman, Ronald R.,1971

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