𝐿^{𝑝} bounds for the commutators of singular integrals and maximal singular integrals with rough kernels

Chen, Yanping; Ding, Yong

doi:10.1090/S0002-9947-2014-06069-8

bounds for the commutators of singular integrals and maximal singular integrals with rough kernels

Authors: Yanping Chen and Yong Ding
Journal: Trans. Amer. Math. Soc. 367 (2015), 1585-1608
MSC (2010): Primary 42B20, 42B25, 42B99
DOI: https://doi.org/10.1090/S0002-9947-2014-06069-8
Published electronically: July 29, 2014
MathSciNet review: 3286493
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Abstract: The commutator of convolution type Calderon-Zygmund singular integral operators with rough kernels $p.v. \frac {\Omega (x)}{\vert x\vert^n}$ are studied. The authors established the $L^p\,(1<p<\infty )$ boundedness of the commutators of singular integrals and maximal singular integrals with the kernel condition which is different from the condition $\Omega \in H^1(S^{n-1}).$

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