A note on a transplantation theorem of Kanjin and multiple Laguerre expansions

Author:

Thangavelu S.

Abstract

By applying a transplantation theorem of Kanjin, a multiplier theorem and a Cesáro summability result are proved for multiple Laguerre expansions. In the one-dimensional case an improved version of the multiplier theorem is obtained.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference13 articles.

1. D. Dlugosz, 𝐿^{𝑝} multipliers for the Laguerre expansions, Colloq. Math. 54 (1987), 287-293.

2. Annals of Mathematics Studies;Folland, Gerald B.,1989

3. Mean Cesàro summability and operator norms for Laguerre expansions;Görlich, E.;Comment. Math. Special Issue,1979

4. A transplantation theorem for Laguerre series;Kanjin, Yūichi;Tohoku Math. J. (2),1991

5. Norm estimates for Cesàro means of Laguerre expansions;Markett, C.,1981

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Transplantation Theorems—A Survey;Journal of Fourier Analysis and Applications;2010-05-06

2. Transferring strong boundedness among Laguerre orthogonal systems;Proceedings - Mathematical Sciences;2009-04

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