CORDIS Project
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This project investigates geometric analysis, focusing on the relationship between singular integrals and geometric properties of sets. It aims to address significant open problems in the field, utilizing innovative techniques that combine variational arguments with mass transportation concepts.
We propose to study different questions in the area of the so called geometric analysis.
Most of the topics we are interested in deal with the connection between the behavior of singular integrals and the geometry of sets and measures.
The study of this connection has been shown to be extremely helpful in the solution of certain long standing problems in the last years, such as the solution of the Painlev\'e problem or the obtaining of the optimal distortion bounds for quasiconformal mappings by…
UNIVERSITAT AUTONOMA DE BARCELONA
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