Carleson measures and the BMO space on the p-adic vector space
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Yong-Cheol | - |
dc.date.accessioned | 2021-09-08T14:14:17Z | - |
dc.date.available | 2021-09-08T14:14:17Z | - |
dc.date.created | 2021-06-10 | - |
dc.date.issued | 2009-09 | - |
dc.identifier.issn | 0025-584X | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/119456 | - |
dc.description.abstract | For a prime number p, let Q(p) be the p-adic field and let Q(p)(d) denote a vector space over Q(p) which consists of all d-tuples of Q(p). Then we study the p-adic version o the Calderon-Zygmund decomposition, Carleson measures on the vector space Q(p)(d+1) and the space BMO (Q(p)(d)) of functions of bounded mean oscillation on Q(p)(d). In particular, it turns out that the operator norms of various oncoming operators are independent of the dimension d and the prime number p, which is one of the big differences from that of the Euclidean case. Interestingly, the independence of the dimension d and p makes it possible to develop Harmonic Analysis on the infinite dimensional p-adic vector space as the importance had already been pointed out in the Euclidean case. (C) 2009 WILEYNCH Verlag GrnbH & Co. KGaA, Weinheim | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | WILEY-V C H VERLAG GMBH | - |
dc.subject | MAXIMAL FUNCTIONS | - |
dc.subject | CONVEX-BODIES | - |
dc.title | Carleson measures and the BMO space on the p-adic vector space | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Yong-Cheol | - |
dc.identifier.doi | 10.1002/mana.200610806 | - |
dc.identifier.scopusid | 2-s2.0-76849089706 | - |
dc.identifier.wosid | 000270460100004 | - |
dc.identifier.bibliographicCitation | MATHEMATISCHE NACHRICHTEN, v.282, no.9, pp.1278 - 1304 | - |
dc.relation.isPartOf | MATHEMATISCHE NACHRICHTEN | - |
dc.citation.title | MATHEMATISCHE NACHRICHTEN | - |
dc.citation.volume | 282 | - |
dc.citation.number | 9 | - |
dc.citation.startPage | 1278 | - |
dc.citation.endPage | 1304 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | MAXIMAL FUNCTIONS | - |
dc.subject.keywordPlus | CONVEX-BODIES | - |
dc.subject.keywordAuthor | The p-adic vector space | - |
dc.subject.keywordAuthor | Carleson measures | - |
dc.subject.keywordAuthor | the BMO space | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
(02841) 서울특별시 성북구 안암로 14502-3290-1114
COPYRIGHT © 2021 Korea University. All Rights Reserved.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.