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Endpoint estimates for certain commutators of fractional and singular integrals
Authors:Shanzhen Lu  Qiang Wu
Institution:Department of Mathematics, Beijing Normal University, Beijing 100875, People's Republic of China ; Department of Mathematics, Beijing Normal University, Beijing 100875, People's Republic of China
Abstract:In this paper, the authors obtain the endpoint estimates for a class of non-standard commutators with higher order remainders and their variants. Moreover, the authors show that these operators are actually not bounded in certain cases.

Keywords:Commutator  Hardy space  BMO  atom
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