与截面相关的奇异积分算子交换子的李普希茨估计
Lipschitz estimates for commutators of singular integral operators associated with the sections.
作者信息
Wang Guangqing, Zhou Jiang
机构信息
College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046 Republic of China.
出版信息
J Inequal Appl. 2017;2017(1):27. doi: 10.1186/s13660-017-1299-x. Epub 2017 Jan 25.
Abstract
Let be Monge-Ampère singular integral operator, [Formula: see text], and [Formula: see text]. It is proved that the commutator [Formula: see text] is bounded from [Formula: see text] to [Formula: see text] for [Formula: see text] and from [Formula: see text] to [Formula: see text] for [Formula: see text]. For the extreme case [Formula: see text], a weak estimate is given.
摘要
设(M)为蒙日 - 安培奇异积分算子，([公式：见正文])，且([公式：见正文])。证明了对于([公式：见正文])，换位子([公式：见正文])从([公式：见正文])到([公式：见正文])有界，对于([公式：见正文])，从([公式：见正文])到([公式：见正文])有界。对于极限情形([公式：见正文])，给出了一个弱估计。
相似文献
1
Lipschitz estimates for commutators of singular integral operators associated with the sections.与截面相关的奇异积分算子交换子的李普希茨估计
J Inequal Appl. 2017;2017(1):27. doi: 10.1186/s13660-017-1299-x. Epub 2017 Jan 25.
2
Commutators associated with Schrödinger operators on the nilpotent Lie group.与幂零李群上的薛定谔算子相关的换位子。
J Inequal Appl. 2017;2017(1):312. doi: 10.1186/s13660-017-1584-8. Epub 2017 Dec 19.
3
Weighted norm inequalities for Toeplitz type operators associated to generalized Calderón-Zygmund operators.与广义卡尔德隆 - 齐格蒙德算子相关的托普利兹型算子的加权范数不等式。
Springerplus. 2016 Aug 17;5(1):1352. doi: 10.1186/s40064-016-3022-7. eCollection 2016.
4
Weighted inequalities for fractional integral operators and linear commutators in the Morrey-type spaces.莫雷型空间中分数次积分算子和线性交换子的加权不等式
J Inequal Appl. 2017;2017(1):6. doi: 10.1186/s13660-016-1279-6. Epub 2017 Jan 3.
5
Sharp maximal and weighted estimates for multilinear iterated commutators of multilinear integrals with generalized kernels.具有广义核的多线性积分的多线性迭代交换子的尖锐极大值估计和加权估计。
J Inequal Appl. 2017;2017(1):276. doi: 10.1186/s13660-017-1553-2. Epub 2017 Nov 7.
6
Riesz potential and its commutators on Orlicz spaces.奥利奇空间上的里斯位势及其交换子
J Inequal Appl. 2017;2017(1):75. doi: 10.1186/s13660-017-1349-4. Epub 2017 Apr 13.
7
Constructive techniques for zeros of monotone mappings in certain Banach spaces.某些巴拿赫空间中单调映射零点的构造性技术。
Springerplus. 2015 Jul 28;4:383. doi: 10.1186/s40064-015-1169-2. eCollection 2015.
8
Variation and oscillation for the multilinear singular integrals satisfying Hörmander type conditions.满足霍尔曼德型条件的多线性奇异积分的变差与振荡
J Inequal Appl. 2018;2018(1):93. doi: 10.1186/s13660-018-1689-8. Epub 2018 Apr 20.
9
Commutators of singular integral operators satisfying a variant of a Lipschitz condition.满足Lipschitz条件变体的奇异积分算子的换位子。
ScientificWorldJournal. 2014;2014:641705. doi: 10.1155/2014/641705. Epub 2014 May 4.
10
Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces.具有粗糙核的Marcinkiewicz积分在Musielak-Orlicz Hardy空间上的有界性
J Inequal Appl. 2017;2017(1):228. doi: 10.1186/s13660-017-1501-1. Epub 2017 Sep 19.
Zotero 插件