The Burkholder function and quasiconformal mappings

  • André Guerra (ETH Zurich)
Augusteum - A314 Universität Leipzig (Leipzig)


The Burkholder function, found in 1984 in the context of sharp martingale inequalities, turns out to be a “master function” which rules the sharp integrability properties of mappings in the plane. In this talk we will describe a proof of what we call the Burkholder area inequality, which is an optimal estimate for the Burkholder energy of quasiconformal maps in the spirit of the classical Grönwall-Bieberbach area formula. The talk is based on joint work with K. Astala, D. Faraco, A. Koski and J. Kristensen.

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail

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