Frontiers of Mathematics in China >

2007 , Vol. 2 >Issue 3: 439 - 446

DOI: https://doi.org/10.1007/s11464-007-0026-1

A note on commutators of Bochner-Riesz operator

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  • School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China;

Published date: 05 Sep 2007

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Abstract

In terms of continuous decomposition and choosing an appropriate BMO function, the authors obtain a sharp necessary condition for Lp boundedness of the commutators generated by Bochner-Riesz operators below the critical index and BMO functions.

Cite this article

LU Shanzhen, XIA Xia . A note on commutators of Bochner-Riesz operator[J]. Frontiers of Mathematics in China, 2007 , 2(3) : 439 -446 . DOI: 10.1007/s11464-007-0026-1

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