The convergence of the Bochner-Riesz means at the critical index-Reference-Cited by-同舟云学术

The convergence of the Bochner-Riesz means at the critical index

Published:1996 Issue:9 Volume:124 Page:2717-2726
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Chen Lung-Kee,Fan Dashan

Abstract

In this paper, we study the pointwise convergence of the Bochner-Riesz means at the critical index on the space L log + ⁡ L ( Q n ) . L\log ^+ L (Q_n). We weaken the hypothesis, “ x “ 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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-09/S0002-9939-96-03333-3/S0002-9939-96-03333-3.pdf

Reference7 articles.

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4. Steinitz field towers for modular fields;MacLane, Saunders;Trans. Amer. Math. Soc.,1939

5. On certain exponential sums arising in multiple Fourier series;Stein, Elias M.;Ann. of Math. (2),1961

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