University of Birmingham > Talks@bham > Analysis seminar > Understanding weighted norm inequalities for multiparameter maximal functions

Understanding weighted norm inequalities for multiparameter maximal functions

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If you have a question about this talk, please contact Alessio Martini.

A popular issue in the theory of weighted norm inequalities is the study of optimal quantitative estimates for the norm of a certain operator T whenever the weight is an Ap weight; that is, the description of the precise bounds of T in terms of the Ap constant of the weight.

Multiparameter optimal weighted inequalities have not been developed, as there exists a serious obstruction in carrying over the well-known achievements of classical weighted theory to the multiparameter setting. As we will see through this seminar, this is somehow a manifestation of the failure of the Besicovitch covering argument. We will try to present the obstacles we need to deal with and the partial results we have been able to prove.

This talk is part of the Analysis seminar series.

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