Boundedness of some multipliers on stratified Lie groups

doi:10.1007/s11464-014-0441-z

Front. Math. China

2015, Vol. 10

Issue (1) : 137-146 https://doi.org/10.1007/s11464-014-0441-z

RESEARCH ARTICLE

Boundedness of some multipliers on stratified Lie groups

Mingju LIU^1,^2,^*(

),Deming LI³

1. Department of Mathematics, Beihang University, Beijing 100191, China
2. LMIB of the Ministry of Education, Beijing 100191, China
3. Department of Mathematics, Capital Normal University, Beijing 100048, China

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Abstract

Let ￡ be the sub-Laplacian on a stratified Lie group G, and let m be a function defined on [0,+∞). We give the boundedness of the multiplier operators m(￡) on Herz-type Hardy spaces on G.

Keywords Stratified group Herz-type Hardy space multiplier

Corresponding Author(s): Mingju LIU

Issue Date: 30 December 2014

Cite this article:

Mingju LIU,Deming LI. Boundedness of some multipliers on stratified Lie groups[J]. Front. Math. China, 2015, 10(1): 137-146.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-014-0441-z
https://academic.hep.com.cn/fmc/EN/Y2015/V10/I1/137

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