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An example of a space L on which the Hardy-Littlewood maximal operator is not bounded |
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| Authors: | Lubo&#x Pick,Michael R i ka |
| Affiliation: | 1Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic 2Institute of Applied Mathematics, University of Freiburg, Eckerstrasse 1, 79104 Freiburg, Germany |
| Abstract: | We give an example of a function p such that the Hardy-Littlewood maximal operator is not bounded on the generalized Lebesgue space Lp(x). |
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