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Sparse domination and Calderón-Zygmund decomposition for general measures

Seminari di Analisi Matematica dell'Università e del Politecnico di Torino
Date: Wednesday, 15 November 2023 15:00 - 16:00

Venue: José Manuel Conde Alonso - Aula Buzano (DISMA Politecnico di Torino)

We discuss sparse domination and Lp-boundedness of dyadic operators, like Haar shifts, with respect to measures more general than the Lebesgue measure. Boundedness is known to require a weak regularity condition on the measure, that we will show to be sufficient to recover a twisted form of sparse domination as well. Our methods critically use a modification of the classical Calderón-Zygmund decomposition which is valid for general measures, and that we shall also discuss.

 

Speaker
José Manuel Conde Alonso
Affiliation
Universidad Autónoma de Madrid
Room
Aula Buzano
Proposed by
Maria Vallarino

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