Maximal inequality for high-dimensional cubes
Duration: 1 hour 4 mins 25 secs
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| Description: |
Aubrun, G (Lyon)
Wednesday 19 January 2011, 14:00-15:00 |
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| Created: | 2011-01-27 09:50 | ||||
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| Collection: | Discrete Analysis | ||||
| Publisher: | Isaac Newton Institute | ||||
| Copyright: | Aubrun, G | ||||
| Language: | eng (English) | ||||
| Credits: |
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| Abstract: | The talk will deal with the behaviour of the best constant in the Hardy-Littlewood maximal inequality in R^n when the dimension goes to infinity. More precisely, I will sketch a simple probabilistic proof of the following result (due to Aldaz): when the maximal function is defined by averaging over all centred cubes, the Hardy-Littlewood inequality does not hold with a constant independent of the dimension. |
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