Heisenberg群上Lilltewood-Paley算子的有界性(英文)

周疆; 李朋

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Heisenberg群上Lilltewood-Paley算子的有界性(英文)

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- Heisenberg群上Lilltewood-Paley算子的有界性(英文)
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 31, Issue 2, Pages: 149-154(2014)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O177
- Published：2014
- 稿件说明：
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[1]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(02):149-154.

周疆, 李朋. Heisenberg群上Lilltewood-Paley算子的有界性(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2014, 31(2): 149-154.
[1]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(02):149-154. DOI：

周疆, 李朋. Heisenberg群上Lilltewood-Paley算子的有界性(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2014, 31(2): 149-154. DOI：

摘要

得到了Heisenberg群上的广义Littlewood-Paley算子g*ψ

λ从H˙Kα

p q(Hn)空间到˙Kα

p q(Hn)空间的有界性

其中Q(1-1/q)α 关键词： Littlewood-Paley算子; Herz型空间; Heisenberg群; Abstract： In this paper

the boundedness of generalized Littlewood-Paley operators g*ψ

λfrom space H ˙Kα

p q(Hn) to space˙Kα

p q(Hn) is proved where Q(1-1/q) α < Q(1-1/q)+1. Moreover

the estimates for the Littlewood-Paley operators g*ψ

λfrom spaceH ˙Kα

p q(Hn) to space W ˙Kα

p q(Hn) is worked out where α = Q(1-1/q)+1. KeyWords：

Abstract

In this paper

the boundedness of generalized Littlewood-Paley operators g*ψ

λfrom space H ˙Kα

p q(Hn) to space˙Kα

p q(Hn) is proved where Q(1-1/q) α < Q(1-1/q)+1. Moreover

the estimates for the Littlewood-Paley operators g*ψ

λfrom spaceH ˙Kα

p q(Hn) to space W ˙Kα

p q(Hn) is worked out where α = Q(1-1/q)+1.

关键词

Keywords

references

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Li X W,Yang D C,Boundedness of some sublinear operators on Herz spaces[J],Ill Math,1996,40:484–501.

Liu H P,Ma R Q,Littlewood-Paley g-function on Heisenberg group[J],Acta Math Sinica,2006,22:95-100.

Liu M J,Lu S Z,Remarks on g-function on the Heisenberg group[J],Acta Math Sinica,2006,26:7-16.

Cao Y H,Jiang Y S,Estimates for Littlewood-Paley g-function on Heisenberg group[J],J Xinjiang Univ(Natural Science Edition),2007,24:253-259.

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Thangavelu S,Lectures on Hermite and Laguerre Expansions[M],Princeton,New Jersey:Princeton Univ Press,1993.

Thangavelu S,Harmonic Analysis on Heisenberg Group[M],Birkh¨auser,Boston-Basel-Berlin,1998.

Folland G B,Harmonic Analysis in Phase Space[M],Princeton,New Jersey:Princeton Univ Press,1989.

Folland G B,Stein E M,Hardy Spaces on Homogeneous Groups[M],Princeton,New Jersey:Princeton Univ Press,1982.

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