Some remarks on Bochner-Riesz means

Thangavelu, S. (2000) Some remarks on Bochner-Riesz means Colloquium Mathematicum, 83 (2). pp. 217-230. ISSN 0010-1354

[img]
Preview
PDF - Publisher Version
164kB

Official URL: http://journals.impan.gov.pl/cm/

Abstract

We study Lp norm convergence of Bochner-Riesz means SδRƒ associated with certain non-negative differential operators. When the kernel SmR (x, y) satisfies a weak estimate for large values of m we prove Lp norm convergence of Sδ Rƒ for δ > n|1/p-1/2|, 1 < p < ∞, where n is the dimension of the underlying manifold.

Item Type:Article
Source:Copyright of this article belongs to Institute of Mathematics of the Polish Academy of Sciences.
Keywords:Bochner-Riesz Means; Summability; Nilpotent Groups; Rockland Operators; Unitary Representations; Schrödinger Operators; Heisenberg Group
ID Code:64399
Deposited On:10 Oct 2011 05:51
Last Modified:18 May 2016 12:50

Repository Staff Only: item control page