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A+ CATEGORY SCIENTIFIC UNIT

Some remarks on Bochner-Riesz means

Volume 83 / 2000

S. Thangavelu Colloquium Mathematicum 83 (2000), 217-230 DOI: 10.4064/cm-83-2-217-230

Abstract

We study 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.

Authors

  • S. Thangavelu

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