bounds for commutators of convolution operators
Colloquium Mathematicae (2002)
- Volume: 93, Issue: 1, page 11-20
- ISSN: 0010-1354
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Abstract
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topGuoen Hu, Qiyu Sun, and Xin Wang. "$L^{p}(ℝⁿ)$ bounds for commutators of convolution operators." Colloquium Mathematicae 93.1 (2002): 11-20. <http://eudml.org/doc/285232>.
@article{GuoenHu2002,
abstract = {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.},
author = {Guoen Hu, Qiyu Sun, Xin Wang},
journal = {Colloquium Mathematicae},
keywords = {commutator; singular integral; BMO(; Fourier transform estimate; boundedness; convolution operators},
language = {eng},
number = {1},
pages = {11-20},
title = {$L^\{p\}(ℝⁿ)$ bounds for commutators of convolution operators},
url = {http://eudml.org/doc/285232},
volume = {93},
year = {2002},
}
TY - JOUR
AU - Guoen Hu
AU - Qiyu Sun
AU - Xin Wang
TI - $L^{p}(ℝⁿ)$ bounds for commutators of convolution operators
JO - Colloquium Mathematicae
PY - 2002
VL - 93
IS - 1
SP - 11
EP - 20
AB - 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.
LA - eng
KW - commutator; singular integral; BMO(; Fourier transform estimate; boundedness; convolution operators
UR - http://eudml.org/doc/285232
ER -
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