# DAN

## Seminar

### Maximal inequality for high-dimensional cubes

Seminar Room 1, Newton Institute

#### 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.#### Video

**The video for this talk should appear here if JavaScript is enabled.**

If it doesn't, something may have gone wrong with our embedded player.

We'll get it fixed as soon as possible.

If it doesn't, something may have gone wrong with our embedded player.

We'll get it fixed as soon as possible.