Geodesic
$L^{p}({\Bbb R}^{n})$ bounds for commutators of convolution operators
Guoen Hu 1   ; Qiyu Sun 2   ; Xin Wang 1
1 Department of Applied Mathematics University of Information Engineering P.O. Box 1001-747 Zhengzhou 450002, China
2 Department of Mathematics The National University of Singapore Lower Kent Ridge Road 119260 Singapore
Colloquium Mathematicum, Tome 93 (2002) no. 1, pp. 11-20 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The $L^p({\mathbb R}^{n})$ boundedness is established for commutators generated by $\mathop {\rm BMO}\nolimits ({\mathbb R}^{n})$ functions and convolution operators whose kernels satisfy certain Fourier transform estimates. As an application, a new result about the $L^p({\mathbb R}^{n})$ boundedness is obtained for commutators of homogeneous singular integral operators whose kernels satisfy the Grafakos–Stefanov condition.
DOI : 10.4064/cm93-1-2
Keywords: mathbb boundedness established commutators generated mathop bmo nolimits mathbb functions convolution operators whose kernels satisfy certain fourier transform estimates application result about mathbb boundedness obtained commutators homogeneous singular integral operators whose kernels satisfy grafakos stefanov condition

Guoen Hu  1   ; Qiyu Sun  2   ; Xin Wang  1

1 Department of Applied Mathematics University of Information Engineering P.O. Box 1001-747 Zhengzhou 450002, China
2 Department of Mathematics The National University of Singapore Lower Kent Ridge Road 119260 Singapore 
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Guoen Hu; Qiyu Sun; Xin Wang. $L^{p}({\Bbb R}^{n})$ bounds for
  commutators of convolution operators. Colloquium Mathematicum, Tome 93 (2002) no. 1, pp. 11-20. doi: 10.4064/cm93-1-2

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