The Hormander multiplier theorem for n-linear operators
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lee, Jongho | - |
dc.contributor.author | Heo, Yaryong | - |
dc.contributor.author | Hong, Sunggeum | - |
dc.contributor.author | Lee, Jin Bong | - |
dc.contributor.author | Park, Bae Jun | - |
dc.contributor.author | Park, Yejune | - |
dc.contributor.author | Yang, Chan Woo | - |
dc.date.accessioned | 2022-02-17T19:40:39Z | - |
dc.date.available | 2022-02-17T19:40:39Z | - |
dc.date.created | 2022-02-09 | - |
dc.date.issued | 2021-10 | - |
dc.identifier.issn | 0025-5831 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/136136 | - |
dc.description.abstract | In this paper, we study the Hormander multiplier theorem for multilinear operators. We generalize the result of Tomita (J Funct Anal 259(8):2028-2044, 2010) to wider target spaces and extend that of Grafakos and Van Nguyen (Monatsh Math 190(4):735-753, 2019) to multilinear operators. We indeed give two different proofs: The first proof is based on the results of Grafakos et al. (Can J Math 65(2):299-330, 2013; II J Math Soc Jpn 69(2):529-562, 2017), Grafakos and Van Nguyen (Colloq Math 144(1):1-30, 2016; Monatsh Math 190(4):735-753, 2019), Miyachi and Tomita (Rev Mat Iberoam 29(2):495-530, 2013) and for the second one we provide a new and original approach, inspired by Muscalu et al. (Acta Math 193(2):269-296, 2004). We also give an application and discuss the sharpness of the result. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER HEIDELBERG | - |
dc.subject | MULTILINEAR FOURIER MULTIPLIERS | - |
dc.subject | MINIMAL SOBOLEV REGULARITY | - |
dc.title | The Hormander multiplier theorem for n-linear operators | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Heo, Yaryong | - |
dc.contributor.affiliatedAuthor | Yang, Chan Woo | - |
dc.identifier.doi | 10.1007/s00208-021-02162-1 | - |
dc.identifier.scopusid | 2-s2.0-85103147808 | - |
dc.identifier.wosid | 000632802800001 | - |
dc.identifier.bibliographicCitation | MATHEMATISCHE ANNALEN, v.381, no.1-2, pp.499 - 555 | - |
dc.relation.isPartOf | MATHEMATISCHE ANNALEN | - |
dc.citation.title | MATHEMATISCHE ANNALEN | - |
dc.citation.volume | 381 | - |
dc.citation.number | 1-2 | - |
dc.citation.startPage | 499 | - |
dc.citation.endPage | 555 | - |
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 | MINIMAL SOBOLEV REGULARITY | - |
dc.subject.keywordPlus | MULTILINEAR FOURIER MULTIPLIERS | - |
dc.subject.keywordAuthor | 42B25 | - |
dc.subject.keywordAuthor | Primary 42B15 | - |
dc.subject.keywordAuthor | Secondary 42B20 | - |
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