$L^{p}(ℝⁿ)$ bounds for commutators of convolution operators

• Autorzy: Guoen Hu , Qiyu Sun , Xin Wang
• Języki publikacji: EN

Abstrakty

EN

The $L^{p}(ℝⁿ)$ 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 $L^{p}(ℝⁿ)$ boundedness is obtained for commutators of homogeneous singular integral operators whose kernels satisfy the Grafakos-Stefanov condition.

Kategorie tematyczne

• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 93
• Numer: 1
• Strony: 11-20

Daty

wydano

2002

Twórcy

autor

Guoen Hu

• Department of Applied Mathematics, University of Information Engineering, P.O. Box 1001-747, Zhengzhou 450002, China

autor

Qiyu Sun

• Department of Mathematics, The National University of Singapore, Lower Kent Ridge Road, 119260 Singapore

autor

Xin Wang

• Department of Applied Mathematics, University of Information Engineering, P.O. Box 1001-747, Zhengzhou 450002, China

Identyfikatory

DOI

10.4064/cm93-1-2