Littlewood Paley g-function on the Heisenberg Group 被引量：6

Littlewood Paley g-function on the Heisenberg Group

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摘要 We consider the g-function related to a class of radial functions which gives a characterization of the L^p-norm of a function on the Heisenberg group. We consider the g-function related to a class of radial functions which gives a characterization of the L^p-norm of a function on the Heisenberg group.

作者 He Ping LIU Rui Qin MA

机构地区 LMAM

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第1期95-100,共6页 数学学报（英文版）

基金 Supported by the National Natural Science Foundation of China （No. 10371004） and the Specialized Research Fund for the Doctoral Program Higher Education of China （No. 20030001107）

关键词 Heisenberg group G-FUNCTION Heisenberg group, g-function

分类号 O152 [理学—基础数学]

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参考文献14

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同被引文献8

1XUE QingYing,DING Yong.Weighted estimates for the multilinear commutators of the Littlewood-Paley operators[J].Science China Mathematics,2009,52(9):1849-1868. 被引量：8
2江寅生,唐林.齐次群上Herz型Hardy空间的分解(英文)[J].数学进展,2006,35(3):366-374. 被引量：4
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7Lijuan Wang,Shuangping Tao.Parameterized Littlewood-Paley Operators and Their Commutators on Lebesgue Spaces with Variable Exponent[J].Analysis in Theory and Applications,2015,31(1):13-24. 被引量：6
8刘岚喆,陆善镇,徐景实.Littlewood-Paley算子的交换子的有界性(英文)[J].数学进展,2003,32(4):473-480. 被引量：14

引证文献6

1Ming Ju LIU,Shan Zhen LU.Remarks on g-functions on H^n[J].Acta Mathematica Sinica,English Series,2007,23(1):7-16.
2曹勇辉,江寅生.海森堡群上的Littlewood-Paley g-函数的估计(英文)[J].新疆大学学报（自然科学版）,2007,24(3):253-259. 被引量：1
3肖劲森.Heisenberg群上的尺度函数扩张[J].广东技术师范学院学报,2010,31(3):13-16.
4周疆,李朋.Heisenberg群上Lilltewood-Paley算子的有界性(英文)[J].新疆大学学报（自然科学版）,2014,31(2):149-154.
5李朋,周疆.广义Littlewood-Paley算子交换子在Heisenberg群上的估计[J].西北师范大学学报（自然科学版）,2014,50(4):21-24.
6Dong Li LIU,Ji Man ZHAO.Littlewood–Paley Operators on Spaces with Variable Exponent on Homogeneous Groups[J].Acta Mathematica Sinica,English Series,2020,36(5):535-558.

二级引证文献1

1李朋,周疆.广义Littlewood-Paley算子交换子在Heisenberg群上的估计[J].西北师范大学学报（自然科学版）,2014,50(4):21-24.

1He Ping LIU,Xuan Yuan ZHENG.The Compactness of Commutators on the Heisenberg Group[J].Acta Mathematica Sinica,English Series,2006,22(2):425-430.
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10Qing Ying XUE,Yong DING,Kozo YABUTA.Parabolic Littlewood-Paley g-Function with Rough Kernel[J].Acta Mathematica Sinica,English Series,2008,24(12):2049-2060. 被引量：7

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Littlewood Paley g-function on the Heisenberg Group 被引量：6

参考文献14

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