Extrapolation for multilinear Muckenhoupt classes

Date: 
Tuesday, April 10, 2018 - 2:00pm
Location: 
Math Sci 110
Speaker: 
Chema Martell
ICMAT (Spain)

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In this talk we will present some recent results concerning multivariable Rubio de Francia extrapolation theorem for some multilinear Muckenhoupt classes of weights.

These include those that are natural for the multilinear Calder\'on-Zygmund operators and more generally those that have recently appeared associated with the weighted norm inequalities for multilinear sparse forms, which control fundamental operators such as the bilinear Hilbert transform. Some applications can be easily proved using extrapolation. We obtain weighted vector-valued inequalities for the bilinear Hilbert transform and also for its commutators with BMO functions.

 

Joint work with K. Li and S. Ombrosi.

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