A note on commutators of Bochner-Riesz operator

doi:10.1007/s11464-007-0026-1

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Front. Math. China ›› 2007, Vol. 2 ›› Issue (3) : 439-446. DOI: 10.1007/s11464-007-0026-1

A note on commutators of Bochner-Riesz operator

LU Shanzhen, XIA Xia

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Abstract

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

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LU Shanzhen, XIA Xia. A note on commutators of Bochner-Riesz operator. Front. Math. China, 2007, 2(3): 439‒446 https://doi.org/10.1007/s11464-007-0026-1