|
|||||
|
|
Differential Transforms in Weighted Spaces |
|
| Authors: | A.L. Bernardis M. Lorente F.J. Martín-Reyes M.T. Martínez A. de la Torre J.L. Torrea |
| Affiliation: | (1) IMAL-CONICET, Guemes 3450, (3000) Santa Fe, Argentina;(2) Departamento de Analisis Matematico, Facultad de Ciencias, Universidad de Malaga, 29071 Malaga, Spain;(3) Departamento de Matematicas, Universidad Autonoma de Madrid, 28049 Madrid, Spain |
| Abstract: | We extend the results by Jones and Rosenblatt about the series of the differences of differentiation operators along lacunary sequences to BMO and to the setting of weighted Lp spaces. We use a different approach which allows to establish that the one-sided Sawyer Ap weights are the natural ones to study the boundedness and convergence of that series in weighted spaces. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |