南方科技大学知识苑(SUSTech KC): REMARKS ON THE BERNSTEIN INEQUALITY FOR HIGHER ORDER OPERATORS AND RELATED RESULTS

题名	REMARKS ON THE BERNSTEIN INEQUALITY FOR HIGHER ORDER OPERATORS AND RELATED RESULTS
作者	Li, Dong1,2 ; Sire, Yannick 3
通讯作者	Li, Dong
发表日期	2022-11-01
DOI	10.1090/tran/8708
发表期刊	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 影响因子和分区
ISSN	0002-9947
EISSN	1088-6850
摘要	This note is devoted to several results about frequency localized functions and associated Bernstein inequalities for higher order operators. In particular, we construct some counterexamples for the frequency-localized Bernstein inequalities for higher order Laplacians. We show also that the heat semi-group associated to powers larger than one of the laplacian does not satisfy the strict maximum principle in general. Finally, in a suitable range we provide several positive results.
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	第一 ; 通讯
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000882155400001
出版者	AMER MATHEMATICAL SOC
ESI学科分类	MATHEMATICS
来源库	Web of Science
引用统计	被引频次[WOS]：0
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/415964
专题	理学院_数学系
作者单位	1.Southern Univ Sci & Technol, SUS Tech Int Ctr Math, Shenzhen, Peoples R China 2.Southern Univ Sci & Technol, Dept Math, Shenzhen, Peoples R China 3.Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA
第一作者单位	南方科技大学; 数学系
通讯作者单位	南方科技大学; 数学系
第一作者的第一单位	南方科技大学
推荐引用方式 GB/T 7714	Li, Dong,Sire, Yannick. REMARKS ON THE BERNSTEIN INEQUALITY FOR HIGHER ORDER OPERATORS AND RELATED RESULTS[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2022.
APA	Li, Dong,&Sire, Yannick.(2022).REMARKS ON THE BERNSTEIN INEQUALITY FOR HIGHER ORDER OPERATORS AND RELATED RESULTS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY.
MLA	Li, Dong,et al."REMARKS ON THE BERNSTEIN INEQUALITY FOR HIGHER ORDER OPERATORS AND RELATED RESULTS".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2022).