Boundedness of some multipliers on stratified Lie groups

详细信息    查看全文

• 作者：Mingju Liu (1) (2)
  Deming Li (3)
  
• 关键词：Stratified group ; Herz ; type Hardy space ; multiplier ; 42B15 ; 43A15
• 刊名：Frontiers of Mathematics in China
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：10
• 期：1
• 页码：137-146
• 全文大小：205 KB
• 参考文献：1. De Michele L, Mauceri G. / L ^p-multipliers on the Heisenberg group. Michigan Math J, 1979, 26: 371-73
  2. De Michele L, Mauceri G. / H ^p-multipliers on stratified groups. Ann Mat Pura Appl, 1987, 148: 353-66 CrossRef
  3. Fefferman C, Stein E M. / H ^p space of several variables. Acta Math, 1972, 129: 137-93 CrossRef
  4. Folland G B, Stein E M. Hardy Spaces on Homogeneous Groups. Math Notes, 28. Princeton: Princeton Univ Press, 1982
  5. Jiang Y S, Tang L. Decompositions of Herz-type hardy spaces on homogeneous groups. Adv Math China, 2006, 35: 366-74
  6. Mauceri G. Maximal operators and Riesz means on stratified groups. Symposia Math, 1987, 29: 47-2
  7. Mauceri G, Meda S. Vector-valued multipliers on stratified groups. Rev Mat Iberoam, 1990, 6: 141-54 CrossRef
  8. Miyachi A. On some Fourier multipliers for / H ^p(?sup class="a-plus-plus">n). J Fac Sci Univ Tokyo, 1980, 27: 157-79
  9. Peral J. / L ^p estimates for the wave equations. J Funct Anal, 1980, 36: 114-45 CrossRef
  
• 作者单位：Mingju Liu (1) (2)
  Deming Li (3)
  
  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
  
• ISSN：1673-3576

文摘

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.