Boundedness of some multipliers on stratified Lie groups

Mingju LIU, Deming LI

PDF(132 KB)
PDF(132 KB)
Front. Math. China ›› 2015, Vol. 10 ›› Issue (1) : 137-146. DOI: 10.1007/s11464-014-0441-z
RESEARCH ARTICLE
RESEARCH ARTICLE

Boundedness of some multipliers on stratified Lie groups

Author information +
History +

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

Cite this article

Download citation ▾
Mingju LIU, Deming LI. Boundedness of some multipliers on stratified Lie groups. Front. Math. China, 2015, 10(1): 137‒146 https://doi.org/10.1007/s11464-014-0441-z

References

[1]
De Michele L, Mauceri G. Lp-multipliers on the Heisenberg group. Michigan Math J, 1979, 26: 371-373
[2]
De Michele L, Mauceri G. Hp-multipliers on stratified groups. Ann Mat Pura Appl, 1987, 148: 353-366
CrossRef Google scholar
[3]
Fefferman C, Stein E M. Hp space of several variables. Acta Math, 1972, 129: 137-193
CrossRef Google scholar
[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: 366-374
[6]
Mauceri G. Maximal operators and Riesz means on stratified groups. Symposia Math, 1987, 29: 47-62
[7]
Mauceri G, Meda S. Vector-valued multipliers on stratified groups. Rev Mat Iberoam, 1990, 6: 141-154
CrossRef Google scholar
[8]
Miyachi A. On some Fourier multipliers for Hp(ℝn). J Fac Sci Univ Tokyo, 1980, 27: 157-179
[9]
Peral J. Lp estimates for the wave equations. J Funct Anal, 1980, 36: 114-145
CrossRef Google scholar

RIGHTS & PERMISSIONS

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
AI Summary AI Mindmap
PDF(132 KB)

Accesses

Citations

Detail

Sections
Recommended

/