University of Birmingham > Talks@bham > Analysis Reading Seminar > Sparse domination via sizes and outer measures

Sparse domination via sizes and outer measures

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If you have a question about this talk, please contact Gianmarco Brocchi.

The aim of this talk is to discuss a sparse domination for a martingale transform in the language of outer Lp spaces.

We start by briefly recalling the definition and the basic properties of these spaces (see Do,Thiele [arxiv:1309.0945]).

As an application, we show classic Lp bounds for the martingale transform. The (short) proof in this contest boils down to an application of Hölder’s inequality and embedding maps for the given size.

Finally, we introduce sparse forms in the language of outer L^p spaces. We then discuss the domination of the martingale transform by a sparse form.

This talk is part of the Analysis Reading Seminar series.

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