Multilinear and Multiparameter Spectral Multipliers on Homogeneous Besov and Triebel-Lizorkin Spaces on Lie Groups of Polynomial Growth

doi:10.1007/s12220-021-00844-5

CSpace

	Multilinear and Multiparameter Spectral Multipliers on Homogeneous Besov and Triebel-Lizorkin Spaces on Lie Groups of Polynomial Growth
	Fang, Jingxuan 1; Li, Hongbo 1; Zhao, Jiman 2
	2022-03-01
发表期刊	JOURNAL OF GEOMETRIC ANALYSIS
ISSN	1050-6926
卷号	32 期号:3 页码:20
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.
关键词	Multilinear and multiparameter spectral multipliers Homogeneous Besov spaces Homogeneous Triebel-Lizorkin spaces Lie groups of polynomial growth
DOI	10.1007/s12220-021-00844-5
收录类别	SCI
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000745069500009
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59924
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.