A Good $\lambda$ Estimate for Multilinear Commutator of Singular Integral on Spaces of Homogeneous Type

A Good $\lambda$ Estimate for Multilinear Commutator of Singular Integral on Spaces of Homogeneous Type

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In this paper, a good $\lambda$ estimate for the multilinear commutator associated to the singular integral operator on the spaces of homogeneous type is obtained. Under this result, we get the$(L^p(X),L^q(X))$-boundedness of the multilinear commutator.

Bibliographic Details
Main Authors: Zhang Qian, Liu Lanzhe
Format: Article
Language:English
Published: Republic of Armenia National Academy of Sciences 2011-04-01
Series:Armenian Journal of Mathematics
Online Access:http://armjmath.sci.am/index.php/ajm/article/view/73
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spelling doaj-041826d262894781961bafb457233add2020-11-24T21:48:41ZengRepublic of Armenia National Academy of SciencesArmenian Journal of Mathematics1829-11632011-04-0133A Good $\lambda$ Estimate for Multilinear Commutator of Singular Integral on Spaces of Homogeneous TypeZhang Qian0Liu Lanzhe1School of Mathematics and Systems Science Beijing University of Aeronautics & Astronautics Beijing, 100191, P.R.of ChinaDepartment of Mathematics Changsha University of Science and Technology Changsha, 410077, P.R.of China In this paper, a good $\lambda$ estimate for the multilinear commutator associated to the singular integral operator on the spaces of homogeneous type is obtained. Under this result, we get the$(L^p(X),L^q(X))$-boundedness of the multilinear commutator. http://armjmath.sci.am/index.php/ajm/article/view/73
collection DOAJ
language English
format Article
sources DOAJ
author Zhang Qian
Liu Lanzhe
spellingShingle Zhang Qian
Liu Lanzhe
A Good $\lambda$ Estimate for Multilinear Commutator of Singular Integral on Spaces of Homogeneous Type
Armenian Journal of Mathematics
author_facet Zhang Qian
Liu Lanzhe
author_sort Zhang Qian
title A Good $\lambda$ Estimate for Multilinear Commutator of Singular Integral on Spaces of Homogeneous Type
title_short A Good $\lambda$ Estimate for Multilinear Commutator of Singular Integral on Spaces of Homogeneous Type
title_full A Good $\lambda$ Estimate for Multilinear Commutator of Singular Integral on Spaces of Homogeneous Type
title_fullStr A Good $\lambda$ Estimate for Multilinear Commutator of Singular Integral on Spaces of Homogeneous Type
title_full_unstemmed A Good $\lambda$ Estimate for Multilinear Commutator of Singular Integral on Spaces of Homogeneous Type
title_sort good $\lambda$ estimate for multilinear commutator of singular integral on spaces of homogeneous type
publisher Republic of Armenia National Academy of Sciences
series Armenian Journal of Mathematics
issn 1829-1163
publishDate 2011-04-01
description In this paper, a good $\lambda$ estimate for the multilinear commutator associated to the singular integral operator on the spaces of homogeneous type is obtained. Under this result, we get the$(L^p(X),L^q(X))$-boundedness of the multilinear commutator.
url http://armjmath.sci.am/index.php/ajm/article/view/73
work_keys_str_mv AT zhangqian agoodlambdaestimateformultilinearcommutatorofsingularintegralonspacesofhomogeneoustype
AT liulanzhe agoodlambdaestimateformultilinearcommutatorofsingularintegralonspacesofhomogeneoustype
AT zhangqian goodlambdaestimateformultilinearcommutatorofsingularintegralonspacesofhomogeneoustype
AT liulanzhe goodlambdaestimateformultilinearcommutatorofsingularintegralonspacesofhomogeneoustype
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