Criteria for the boundedness of a certain class of matrix operators from lpv into lqu
| dc.contributor.author | Temirkhanova, A.M. | |
| dc.contributor.author | Beszhanova, A.T. | |
| dc.date.accessioned | 2023-11-23T08:05:40Z | |
| dc.date.available | 2023-11-23T08:05:40Z | |
| dc.date.issued | 2023-09-30 | |
| dc.description.abstract | One of the main aims in the theory of matrices is to find necessary and sufficient conditions for the elements of any matrix so that the corresponding matrix operator maps continuously from one normed space into another one. Thus, it is very important to find the norm of the matrix operator, at least, to find upper and lower estimates of it. This problem in Lebesgue spaces of sequences in the general case is still open. This paper deals with the problem of boundedness of matrix operators from lpv into lqu for 1 < q < p < 1, and we obtain necessary and sufficient conditions of this problem when matrix operators belong to the classes O± 2 satisfying weaker conditions than Oinarov’s condition. | ru_RU |
| dc.identifier.citation | Temirkhanova A.M.Criteria for the boundedness of a certain class of matrix operators from lpv into lqu/ A.M. Temirkhanova_, A.T. Beszhanova// Bulletin of the Karaganda University. Mathematics series. – 2023. – № 3(111). – pp. 122-137 | ru_RU |
| dc.identifier.issn | 2663-5011 | |
| dc.identifier.uri | https://rep.buketov.edu.kz//handle/data/17287 | |
| dc.language.iso | en | ru_RU |
| dc.publisher | Karagandy University of the name of acad. E.A. Buketov | ru_RU |
| dc.relation.ispartofseries | Bulletin of the Karaganda University. «Mathematics» series;No. 3(111)/2023 | |
| dc.subject | matrix operator | ru_RU |
| dc.subject | conjugate operator | ru_RU |
| dc.subject | weight sequence | ru_RU |
| dc.subject | boundedness | ru_RU |
| dc.subject | weight inequalities | ru_RU |
| dc.subject | weight Lebesgue space | ru_RU |
| dc.subject | Oinarov’s condition | ru_RU |
| dc.subject | Hardy operator | ru_RU |
| dc.subject | Hardy inequality | ru_RU |
| dc.subject | matrix. | ru_RU |
| dc.title | Criteria for the boundedness of a certain class of matrix operators from lpv into lqu | ru_RU |
| dc.title.alternative | Матрицалық операторлар бiр класының lpv-дан lqu-ға шенелгендiк критерийi | ru_RU |
| dc.title.alternative | Критерий ограниченности некоторого класса матричных операторов из lpv в lqu | ru_RU |
| dc.type | Article | ru_RU |