Some remarks on Bochner-Riesz means

Thangavelu, S.

Thangavelu, S.

Colloquium Mathematicae, Tome 84/85 (2000), p. 217-230 / Harvested from The Polish Digital Mathematics Library

Résumé

We study $L^{p}$ norm convergence of Bochner-Riesz means $S_{R}^{δ} f$ associated with certain non-negative differential operators. When the kernel $S_{R}^{m} (x, y)$ satisfies a weak estimate for large values of m we prove $L^{p}$ norm convergence of $S_{R}^{δ} f$ for δ > n|1/p-1/2|, 1 < p < ∞, where n is the dimension of the underlying manifold.

Publié le : 2000-01-01

Zbl 0968.42011

EUDML-ID : urn:eudml:doc:210783

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     author = {S. Thangavelu},
     title = {Some remarks on Bochner-Riesz means},
     journal = {Colloquium Mathematicae},
     volume = {84/85},
     year = {2000},
     pages = {217-230},
     zbl = {0968.42011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv83i2p217bwm}
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Thangavelu, S. Some remarks on Bochner-Riesz means. Colloquium Mathematicae, Tome 84/85 (2000) pp. 217-230. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv83i2p217bwm/

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