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Tkatjev: Sharp pointwise gradient estimates for Riesz potentials

Tkatjev:
I will explain why certain Riesz potentials and their sharp estimates are relevant in several different contexts including $L$-problem of moments (A.A. Markov, M. Krein, N. Akhiezer, M. Putinar), exponential transform of quadrature domains and domain identification (M. Putinar, B. Gustafsson, G. Golub, P. Milanfar), an exponential transform and regularity of free boundaries in two dimensions (M. Putinar, B. Gustafsson), gradient potential estimates (Adams, Hedberg, Mingione) and also very recent appears in monotonicity formulae (J. Zhu, 2018). I will also give an overview of my recent results in this direction. The emphasis will be given on the applications to the $L$-moment problem and exponential transforms
http://cvgmt.sns.it/seminar/679/
When
Thu Mar 14, 2019 2pm – 3pm Coordinated Universal Time
Where
Scuola Normale Superiore, Aula Dini (Castelletto) (map)