Some results and problems on commutators

doi:10.1007/s11464-011-0157-2

Front Math Chin

2011, Vol. 6

Issue (5) : 821-833 https://doi.org/10.1007/s11464-011-0157-2

SURVEY ARTICLE

Some results and problems on commutators

Shanzhen LU(

)

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

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Abstract

In this paper, the author introduces some late results and puts forward a few problems on commutators of many important operators in harmonic analysis, included the Bochner-Riesz operator below the critical index, the strongly singular integral operator, the pseudo-differential operator, a class of convolution operators with oscillatory kernel, the Marcinkiewicz integral operator, and the fractional integral operator with rough kernel.

Keywords Commutator BMO function Lipschitz function

Corresponding Author(s): LU Shanzhen,Email:lusz@bnu.edu.cn

Issue Date: 01 October 2011

Cite this article:

Shanzhen LU. Some results and problems on commutators[J]. Front Math Chin, 2011, 6(5): 821-833.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-011-0157-2
https://academic.hep.com.cn/fmc/EN/Y2011/V6/I5/821

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