| Title | REMARKS ON THE BERNSTEIN INEQUALITY FOR HIGHER ORDER OPERATORS AND RELATED RESULTS |
| Author | |
| Corresponding Author | Li, Dong |
| Publication Years | 2022-11-01
|
| DOI | |
| Source Title | |
| ISSN | 0002-9947
|
| EISSN | 1088-6850
|
| Abstract | 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. |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | First
; Corresponding
|
| WOS Research Area | Mathematics
|
| WOS Subject | Mathematics
|
| WOS Accession No | WOS:000882155400001
|
| Publisher | |
| ESI Research Field | MATHEMATICS
|
| Data Source | Web of Science
|
| Citation statistics |
Cited Times [WOS]:0
|
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/415964 |
| Department | Department of Mathematics |
| Affiliation | 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 |
| First Author Affilication | Southern University of Science and Technology; Department of Mathematics |
| Corresponding Author Affilication | Southern University of Science and Technology; Department of Mathematics |
| First Author's First Affilication | Southern University of Science and Technology |
| Recommended Citation 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).
|
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