| Автор | JAMESON, G. J. O. |
| Автор | LASHKARIPOUR, R. |
| Дата выпуска | 2000 |
| dc.description | The problem considered is the determination of “lower bounds” of matrix operators on the spaces \ell_p(w) or d(w,p). Under fairly general conditions, the solution is the same for both spaces and is given by the infimum of a certain sequence. Specific cases are considered, with the weighting sequence defined by w_n = 1/n^\alpha . The exact solution is found for the Hilbert operator. For the averaging operator, two different upper bounds are given, and for certain values of p and \alpha it is shown that the smaller of these two bounds is the exact solution. |
| Издатель | Cambridge University Press |
| Название | LOWER BOUNDS OF OPERATORS ON WEIGHTED ℒP SPACES AND LORENTZ SEQUENCE SPACES |
| Electronic ISSN | 1469-509X |
| Print ISSN | 0017-0895 |
| Журнал | Glasgow Mathematical Journal |
| Том | 42 |
| Первая страница | 211 |
| Последняя страница | 223 |
| Аффилиация | JAMESON G. J. O.; Lancaster University |
| Аффилиация | LASHKARIPOUR R.; University of Sistan and Baluchistan |
| Выпуск | 2 |
