Weak type estimates of square functions associated with quasiradial Bochner-Riesz means on certain Hardy spaces
DC Field | Value | Language |
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dc.contributor.author | Kim, Yong-Cheol | - |
dc.date.accessioned | 2021-09-09T10:29:46Z | - |
dc.date.available | 2021-09-09T10:29:46Z | - |
dc.date.created | 2021-06-10 | - |
dc.date.issued | 2008-03-01 | - |
dc.identifier.issn | 0022-247X | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/123922 | - |
dc.description.abstract | Let rho(d) is an element of C-infinity (R-n\{0}) be a non-radial homogeneous distance function of degree d is an element of N satisfying rho(d) (t xi) = t(d) rho(d) (xi). For f is an element of G(R-n), we define square functions G(rho d)(delta) f(x) associated with quasiradial Bochner-Riesz means R-rho d,t(delta) f of index delta by [GRAPHICS] where R-rho d,t(delta) f(x) = F-1 [1-rho(d)/t(d))(delta) + (f) over cap](x). If {xi is an element of R-n : rho(d)(xi) = 1} is a smooth convex hypersurface of finite type, then we prove in an extremely easy way that G(rho d)(delta) is well-defined on H-p(R-n) when delta = n(1/p-1/2)-1/2 and 0 < p < 1; moreover, it is a bounded operator from H-p(R-n) into L-p,L-infinity (R-n) . In addition, if rho(d) is an element of C-infinity (R-n\{0}), then we aslo prove that G(rho d)(delta) is a bounded operator from H-p(R-n) into L-p(R-n) when delta > n (1/p-1/2)-1/2 and 0 < p < 1. (c) 2007 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | FOURIER MULTIPLIERS | - |
dc.subject | MAXIMAL FUNCTIONS | - |
dc.subject | SUMMABILITY | - |
dc.title | Weak type estimates of square functions associated with quasiradial Bochner-Riesz means on certain Hardy spaces | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Yong-Cheol | - |
dc.identifier.doi | 10.1016/j.jmaa.2007.06.050 | - |
dc.identifier.scopusid | 2-s2.0-35248858288 | - |
dc.identifier.wosid | 000252057000023 | - |
dc.identifier.bibliographicCitation | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.339, no.1, pp.266 - 280 | - |
dc.relation.isPartOf | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.citation.title | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.citation.volume | 339 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 266 | - |
dc.citation.endPage | 280 | - |
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, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | FOURIER MULTIPLIERS | - |
dc.subject.keywordPlus | MAXIMAL FUNCTIONS | - |
dc.subject.keywordPlus | SUMMABILITY | - |
dc.subject.keywordAuthor | square functions | - |
dc.subject.keywordAuthor | quasiradial Bochner-Riesz means | - |
dc.subject.keywordAuthor | Hardy spaces | - |
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