|
|||||
|
|
Iterated maximal functions in variable exponent Lebesgue spaces |
|
| Authors: | Petteri Harjulehto Peter H?st? Yoshihiro Mizuta Tetsu Shimomura |
| Affiliation: | 1. Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, Helsinki, 00014, Finland 2. Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, Oulu, 90014, Finland 3. Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, 739-8521, Japan 4. Department of Mathematics, Graduate School of Education, Hiroshima University, Higashi-Hiroshima, 739-8524, Japan |
| Abstract: | In this paper we study the iterated Hardy?CLittlewood maximal operator in variable exponent Lebesgue spaces with exponent allowed to reach the value 1. We use modulars where the L p(·)-modular is perturbed by a logarithmic-type function, and the results hold also in the more general context of such Musielak?COrlicz spaces. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |