Mikhlin-Type <i>H^p</i> Multiplier Theorem on the Heisenberg Group

The classical Fourier multiplier theorem by Mikhlin in Hardy spaces is extended to the Heisenberg group. The proof relies on the theories of atom and molecule functions and the property of special Hermite functions. The main result is a Mikhlin-type <inline-formula><math xmlns="http://...

Full description

Bibliographic Details

Published in:	Axioms
Main Authors:	Jinsen Xiao, Jianxun He, Yingzhu Wu
Format:	Article
Language:	English
Published:	MDPI AG 2024-10-01
Subjects:	multiplier Heisenberg group Hardy space Fourier transform
Online Access:	https://www.mdpi.com/2075-1680/13/11/745