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arXiv · 1608.01575

Almost everywhere convergence of Bochner-Riesz means on some Sobolev type spaces

Dashan Fan·Fayou Zhao
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Abstract

In this paper, we investigate the convergence of the Bochner-Riesz means on some Sobolev type spaces including $L^p$-Sobolev spaces $(p\geq 1)$ and $H^q$-Sobolev spaces $(0<q<1)$. The relation between the smoothness imposed on functions and the rate of almost everywhere convergence of the generalized Bochner-Riesz means is given.

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BibTeXRIS

Dashan Fan, Fayou Zhao. 2016-08-04. Almost everywhere convergence of Bochner-Riesz means on some Sobolev type spaces. https://doi.org/10.1215/20088752-2018-0006

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