Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-25T04:58:52.442Z Has data issue: false hasContentIssue false
  • English
  • Français

HÖRMANDER'S $H^p$ MULTIPLIER THEOREM FOR THE HEISENBERG GROUP

Published online by Cambridge University Press:  20 May 2003

CHIN-CHENG LIN
CHIN-CHENG LIN
Affiliation:
Department of Mathematics, National Central University, Chung-Li, Taiwan 320 [email protected]
Get access

Abstract

Let $\Bbb H^n$ denote the (2n+1)-dimensional Heisenberg group. Given an operator-valued function $M$, define the operator $T_{M}$ by $(T_{M}f)\hat{\vphantom{f}}=\skew4\hat{f} M$ with ‘$\hat{}$’ denoting the Fourier transform. Hörmander-type sufficient conditions are determined on $M$ for the $H^p$-boundedness, $p\le 1$, of the operator $T_{M}$ on $\Bbb H^n$.

Keywords

42B1542B30 (primary)43A17 (secondary)
Type
Research Article
Information
Journal of the London Mathematical Society , Volume 67 , Issue 3 , June 2003 , pp. 686 - 700
Copyright
The London Mathematical Society 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)