Multilinear and Multiparameter Spectral Multipliers on Homogeneous Besov and Triebel-Lizorkin Spaces on Lie Groups of Polynomial Growth
文献类型：期刊论文
| 作者 | Fang, Jingxuan1; Li, Hongbo1; Zhao, Jiman2 |
| 刊名 | JOURNAL OF GEOMETRIC ANALYSIS
 |
| 出版日期 | 2022-03-01 |
| 卷号 | 32期号:3页码:20 |
| 关键词 | Multilinear and multiparameter spectral multipliers Homogeneous Besov spaces Homogeneous Triebel-Lizorkin spaces Lie groups of polynomial growth |
| ISSN号 | 1050-6926 |
| DOI | 10.1007/s12220-021-00844-5 |
| 英文摘要 | In this paper, we study the boundedness of multilinear and multiparameter spectral multipliers on a product space of Lie groups of polynomial growth G = G(1) x ... x G(M). We firstly prove the boundedness from the product of homogeneous Besov spaces (B)Over dot(p1, q1)(s1) (G) x (B)Over dot(p2,q2)(s2 )(G) x ... (B)Over dot(pN,qN)(sN )(G) to Lebesgue spaces L-p(G) with p(1), ..., P-N ,q(1), ..., q(N), p >= 1 and s(1), ..., s(N) is an element of R-M. Then we prove the boundedness from the product of homogeneous Triebel-Lizorkin spaces (T)Over dot(p1,q1)(s1)(G) x (T)Over dot(p2,q2)(s2) (G) x ... x (T)(Over dotpN,qN)(sN ) (G) to Lebesgue spaces L-p (G) with p(1), ... , p(N), q(1), ..., q(N) > 1, p >= 1, s(1), ..., s(N) is an element of R-M. |
| 资助项目 | Chinese Postdoctoral Science Foundation[2020M670489] ; NSFC[11671388] ; National Key Basic Research Program[2018YFA0704705] ; National Key Research and Development Program of China[2020YFA0712900] ; National Natural Science Foundation of China[11471040] ; National Natural Science Foundation of China[11761131002] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000745069500009 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59923]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhao, Jiman |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Univ Chinese Acad Sci, Beijing 100190, Peoples R China 2.Beijing Normal Univ, Sch Math Sci, Inst Math & Math Educ, Minist Educ,Key Lab Math & Complex Syst, Beijing 100875, Peoples R China |
| 推荐引用方式 GB/T 7714 | Fang, Jingxuan,Li, Hongbo,Zhao, Jiman. Multilinear and Multiparameter Spectral Multipliers on Homogeneous Besov and Triebel-Lizorkin Spaces on Lie Groups of Polynomial Growth[J]. JOURNAL OF GEOMETRIC ANALYSIS,2022,32(3):20. |
| APA | Fang, Jingxuan,Li, Hongbo,&Zhao, Jiman.(2022).Multilinear and Multiparameter Spectral Multipliers on Homogeneous Besov and Triebel-Lizorkin Spaces on Lie Groups of Polynomial Growth.JOURNAL OF GEOMETRIC ANALYSIS,32(3),20. |
| MLA | Fang, Jingxuan,et al."Multilinear and Multiparameter Spectral Multipliers on Homogeneous Besov and Triebel-Lizorkin Spaces on Lie Groups of Polynomial Growth".JOURNAL OF GEOMETRIC ANALYSIS 32.3(2022):20. |
入库方式： OAI收割
来源：数学与系统科学研究院
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