Frontiers of Mathematics in China >

2015 , Vol. 10 >Issue 1: 137 - 146

DOI: https://doi.org/10.1007/s11464-014-0441-z

RESEARCH ARTICLE

Boundedness of some multipliers on stratified Lie groups

  • Mingju LIU , 1,2 ,
  • Deming LI 3
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  • 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

Received date: 25 Aug 2012

Accepted date: 13 Nov 2014

Published date: 30 Dec 2014

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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.

Key words： Stratified group; Herz-type Hardy space; multiplier

Cite this article

Mingju LIU , Deming LI . Boundedness of some multipliers on stratified Lie groups[J]. Frontiers of Mathematics in China, 2015 , 10(1) : 137 -146 . DOI: 10.1007/s11464-014-0441-z

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