multipliers and their - estimates on the Heisenberg group
Chincheng Lin
National Central University, Chung-Li, Taiwan
![$L^p$ multipliers and their $H^1$-$L^1$ estimates on the Heisenberg group cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rmi-volume-11-issue-2.png&w=3840&q=90)
Abstract
We give a Hörmander-type sufficient condition on an operator-valued function that implies the -boundedness result for the operator defined by on the -dimensional Heisenberg group . Here “” denotes the Fourier transform on defined in terms of the Fock representations. We also show the --boundedness of . , for under the same hypotheses of -boundedness.
Cite this article
Chincheng Lin, multipliers and their - estimates on the Heisenberg group. Rev. Mat. Iberoam. 11 (1995), no. 2, pp. 269–308
DOI 10.4171/RMI/173