Lp(ℝⁿ) bounds for commutators of convolution operators
Guoen Hu ; Qiyu Sun ; Xin Wang
Colloquium Mathematicae, Tome 91 (2002), p. 11-20 / Harvested from The Polish Digital Mathematics Library
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The Lp(ℝⁿ) boundedness is established for commutators generated by BMO(ℝⁿ) functions and convolution operators whose kernels satisfy certain Fourier transform estimates. As an application, a new result about the Lp(ℝⁿ) boundedness is obtained for commutators of homogeneous singular integral operators whose kernels satisfy the Grafakos-Stefanov condition.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:285232 
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     author = {Guoen Hu and Qiyu Sun and Xin Wang},
     title = {$L^{p}(Rn)$ bounds for commutators of convolution operators},
     journal = {Colloquium Mathematicae},
     volume = {91},
     year = {2002},
     pages = {11-20},
     zbl = {1010.42006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm93-1-2}
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Guoen Hu; Qiyu Sun; Xin Wang. $L^{p}(ℝⁿ)$ bounds for commutators of convolution operators. Colloquium Mathematicae, Tome 91 (2002) pp. 11-20. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm93-1-2/