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The Convergence of the Bochner-Riesz Means at the Critical Index
Lung-Kee Chen and Dashan Fan
Proceedings of the American Mathematical Society
Vol. 124, No. 9 (Sep., 1996), pp. 2717-2726
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2161711
Page Count: 10
You can always find the topics here!Topics: Fourier series, Mathematical integrals, Integration by parts, Mathematical functions, Mathematical theorems, Real numbers, Lebesgue measures, Fourier transformations
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In this paper, we study the pointwise convergence of the Bochner-Riesz means at the critical index on the space Llog+ L(Qn). We weaken the hypothesis, "x is a Lebesgue point", which is required on some research results by instead considering the convergence of averages of the function over balls when the radials of the balls approach to 0.
Proceedings of the American Mathematical Society © 1996 American Mathematical Society