An Lp-Spectral Multiplier Theorem with Sharp p-Specific Regularity Bound on Heisenberg Type Groups

被引：0

作者：

Niedorf, Lars ^{[1
]}

机构：

[1] Christian Albrechts Univ Kiel, Math Seminar, Heinrich Hecht Plz 6, D-24118 Kiel, Germany

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2024年 / 30卷 / 02期

关键词：

Nilpotent Lie group; Heisenberg type group; Sub-Laplacian; Spectral multiplier; Restriction type estimate; Sub-Riemannian geometry; RESTRICTION THEOREM; GRUSHIN OPERATORS;

D O I：

10.1007/s00041-024-10075-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove an L-p-spectral multiplier theorem for sub-Laplacians on Heisenberg type groups under the sharp regularity condition s > d |1/p - 1/2|, where d is the topological dimension of the underlying group. Our approach relies on restriction type estimates where the multiplier is additionally truncated along the spectrum of the Laplacian on the center of the group.

引用

页数：35