Convergence of Iterates of Convolution Operators in Lp Spaces
| dc.authorscopusid | 25123084500 | |
| dc.contributor.author | Mustafayev, Heybetkulu | |
| dc.date.accessioned | 2025-05-10T17:34:14Z | |
| dc.date.available | 2025-05-10T17:34:14Z | |
| dc.date.issued | 2019 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Mustafayev, Heybetkulu] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, Van, Turkey | en_US |
| dc.description.abstract | Let G be a locally compact abelian group and let M (G) be the measure algebra of G. Assume that mu is an element of M (G) is power bounded, that is, sup(n >= 0) parallel to mu(n)parallel to(1) < infinity. This paper is concerned mainly with finding necessary and sufficient conditions for strong convergence of iterates of the convolution operators T(mu)f : = mu * f in L-P (G) (1 <= p < infinity) spaces. Some related problems are also discussed. (C) 2019 Elsevier Masson SAS. All rights reserved. | en_US |
| dc.description.sponsorship | TUBITAK 1001 project [118F410] | en_US |
| dc.description.sponsorship | The author was supported by the TUBITAK 1001 project No: 118F410. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1016/j.bulsci.2019.01.005 | |
| dc.identifier.endpage | 92 | en_US |
| dc.identifier.issn | 0007-4497 | |
| dc.identifier.issn | 1952-4773 | |
| dc.identifier.scopus | 2-s2.0-85060702931 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 61 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.bulsci.2019.01.005 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/13720 | |
| dc.identifier.volume | 152 | en_US |
| dc.identifier.wos | WOS:000469162500003 | |
| dc.identifier.wosquality | Q3 | |
| dc.institutionauthor | Mustafayev, Heybetkulu | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science Bv | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Locally Compact Abelian Group | en_US |
| dc.subject | Group Algebra | en_US |
| dc.subject | Measure Algebra | en_US |
| dc.subject | L-P-Space | en_US |
| dc.subject | Convolution Operator | en_US |
| dc.subject | Convergence | en_US |
| dc.title | Convergence of Iterates of Convolution Operators in Lp Spaces | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |