BILINEAR SPECTRAL MULTIPLIERS ON HEISENBERG GROUPS

• 作者: Naiqi SONG Heping LIU Jiman ZHAO
• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2021,（3）
• 页码范围: 968-990
• 页数: 23页
• 语种: 英文
• DOI: 10.3969/j.issn.0252-9602.2021.03.021

摘要

As we know,thus far,there has appeared no definition of bilinear spectral mul-tipliers on Heisenberg groups.In this article,we present one reasonable definition of bilinear spectral multipliers on Heisenberg groups and investigate its boundedness.We find some restrained conditions to separately ensure its boundedness from C0(Hn)x L2(Hn)to L2(Hn),from L2(Hn)×Co(Hn)to L2(Hn),and from Lp×Lq to Lr with 2＜p,q＜oo,2≤r≤∞.